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136932820480 = 295376721577
BaseRepresentation
bin111111110000111010…
…1010000011000000000
3111002110002021000102201
41333201311100120000
54220414300223410
6142523413322544
712615215524651
oct1774165203000
9432402230381
10136932820480
1153089009835
1222656636454
13cbb32b8981
1468b0139528
15386680c83a
hex1fe1d50600

136932820480 has 160 divisors (see below), whose sum is σ = 342239854176. Its totient is φ = 52494925824.

The previous prime is 136932820429. The next prime is 136932820489. The reversal of 136932820480 is 84028239631.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 136932820480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136932820489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6335452 + ... + 6357028.

Almost surely, 2136932820480 is an apocalyptic number.

136932820480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136932820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171119927088).

136932820480 is an abundant number, since it is smaller than the sum of its proper divisors (205307033696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136932820480 is an equidigital number, since it uses as much as digits as its factorization.

136932820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21704 (or 21688 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 136932820480 in words is "one hundred thirty-six billion, nine hundred thirty-two million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 67 74 80 128 134 148 160 185 256 268 296 320 335 370 512 536 592 640 670 740 1072 1184 1280 1340 1480 2144 2368 2479 2560 2680 2960 4288 4736 4958 5360 5920 8576 9472 9916 10720 11840 12395 17152 18944 19832 21440 21577 23680 24790 34304 39664 42880 43154 47360 49580 79328 85760 86308 94720 99160 107885 158656 171520 172616 198320 215770 317312 345232 396640 431540 634624 690464 793280 798349 863080 1269248 1380928 1445659 1586560 1596698 1726160 2761856 2891318 3173120 3193396 3452320 3991745 5523712 5782636 6346240 6386792 6904640 7228295 7983490 11047424 11565272 12773584 13809280 14456590 15966980 23130544 25547168 27618560 28913180 31933960 46261088 51094336 53489383 55237120 57826360 63867920 92522176 102188672 106978766 115652720 127735840 185044352 204377344 213957532 231305440 255471680 267446915 370088704 408754688 427915064 462610880 510943360 534893830 740177408 855830128 925221760 1021886720 1069787660 1711660256 1850443520 2043773440 2139575320 3423320512 3700887040 4279150640 6846641024 8558301280 13693282048 17116602560 27386564096 34233205120 68466410240 136932820480