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135366210304 = 2813731932887
BaseRepresentation
bin111111000010001110…
…1000111001100000000
3110221101220101222021121
41332010131013030000
54204212222212204
6142104131402024
712531333542233
oct1760435071400
9427356358247
10135366210304
1152454773386
1222299a53314
13c9c3873ac0
1467a205741a
1537c4006b54
hex1f84747300

135366210304 has 144 divisors (see below), whose sum is σ = 296605755712. Its totient is φ = 61280354304.

The previous prime is 135366210299. The next prime is 135366210313. The reversal of 135366210304 is 403012663531.

It is a self number, because there is not a number n which added to its sum of digits gives 135366210304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46886749 + ... + 46889635.

Almost surely, 2135366210304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135366210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148302877856).

135366210304 is an abundant number, since it is smaller than the sum of its proper divisors (161239545408).

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

135366210304 is a wasteful number, since it uses less digits than its factorization.

135366210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 135366210304 its reverse (403012663531), we get a palindrome (538378873835).

The spelling of 135366210304 in words is "one hundred thirty-five billion, three hundred sixty-six million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 193 208 256 292 386 416 584 772 832 949 1168 1544 1664 1898 2336 2509 2887 3088 3328 3796 4672 5018 5774 6176 7592 9344 10036 11548 12352 14089 15184 18688 20072 23096 24704 28178 30368 37531 40144 46192 49408 56356 60736 75062 80288 92384 112712 121472 150124 160576 183157 184768 210751 225424 242944 300248 321152 366314 369536 421502 450848 557191 600496 642304 732628 739072 843004 901696 1114382 1200992 1465256 1686008 1803392 2228764 2401984 2739763 2930512 3372016 3606784 4457528 4803968 5479526 5861024 6744032 7243483 8915056 9607936 10959052 11722048 13488064 14486966 17830112 21918104 23444096 26976128 28973932 35660224 40674943 43836208 46888192 53952256 57947864 71320448 81349886 87672416 115895728 142640896 162699772 175344832 231791456 325399544 350689664 463582912 528774259 650799088 701379328 927165824 1057548518 1301598176 1854331648 2115097036 2603196352 4230194072 5206392704 8460388144 10412785408 16920776288 33841552576 67683105152 135366210304