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136531440 = 24335312039
BaseRepresentation
bin10000010001101…
…00110111110000
3100111220111221000
420020310313300
5234423001230
621314202000
73245332563
oct1010646760
9314814830
10136531440
1170083101
1239883300
1322394646
14141c04da
15bebdb60
hex8234df0

136531440 has 160 divisors (see below), whose sum is σ = 485683200. Its totient is φ = 35216640.

The previous prime is 136531433. The next prime is 136531469. The reversal of 136531440 is 44135631.

136531440 is a `hidden beast` number, since 1 + 3 + 653 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65941 + ... + 67979.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 2136531440 is an apocalyptic number.

136531440 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 136531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

136531440 is an abundant number, since it is smaller than the sum of its proper divisors (349151760).

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

136531440 is a wasteful number, since it uses less digits than its factorization.

136531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 136531440 is about 11684.6668758677. Note that the first 3 decimals coincide. The cubic root of 136531440 is about 514.9252915791.

The spelling of 136531440 in words is "one hundred thirty-six million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2039 2160 2232 2480 2790 3348 3720 4078 4185 4464 5580 6117 6696 7440 8156 8370 10195 11160 12234 13392 16312 16740 18351 20390 22320 24468 30585 32624 33480 36702 40780 48936 55053 61170 63209 66960 73404 81560 91755 97872 110106 122340 126418 146808 163120 183510 189627 220212 244680 252836 275265 293616 316045 367020 379254 440424 489360 505672 550530 568881 632090 734040 758508 880848 948135 1011344 1101060 1137762 1264180 1468080 1517016 1706643 1896270 2202120 2275524 2528360 2844405 3034032 3413286 3792540 4404240 4551048 5056720 5688810 6826572 7585080 8533215 9102096 11377620 13653144 15170160 17066430 22755240 27306288 34132860 45510480 68265720 136531440