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137520072 = 23331722203
BaseRepresentation
bin10000011001001…
…10001111001000
3100120202202002000
420030212033020
5240201120242
621351311000
73256621104
oct1014461710
9316682060
10137520072
1170698958
123a07b460
132264c631
141439a904
15c116a4c
hex83263c8

137520072 has 96 divisors (see below), whose sum is σ = 405976800. Its totient is φ = 43123968.

The previous prime is 137520037. The next prime is 137520121. The reversal of 137520072 is 270025731.

137520072 is a `hidden beast` number, since 137 + 520 + 0 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61323 + ... + 63525.

It is an arithmetic number, because the mean of its divisors is an integer number (4228925).

Almost surely, 2137520072 is an apocalyptic number.

137520072 is a gapful number since it is divisible by the number (12) 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 137520072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202988400).

137520072 is an abundant number, since it is smaller than the sum of its proper divisors (268456728).

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

137520072 is a wasteful number, since it uses less digits than its factorization.

137520072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137520072 is about 11726.8952412819. The cubic root of 137520072 is about 516.1651715686.

The spelling of 137520072 in words is "one hundred thirty-seven million, five hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2203 2312 2601 3468 3672 4406 5202 6609 6936 7803 8812 10404 13218 15606 17624 19827 20808 26436 31212 37451 39654 52872 59481 62424 74902 79308 112353 118962 149804 158616 224706 237924 299608 337059 449412 475848 636667 674118 898824 1011177 1273334 1348236 1910001 2022354 2546668 2696472 3820002 4044708 5093336 5730003 7640004 8089416 11460006 15280008 17190009 22920012 34380018 45840024 68760036 137520072