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137154072 = 23311519523
BaseRepresentation
bin10000010110011…
…00111000011000
3100120002011000110
420023030320120
5240102412242
621335404320
73253535046
oct1013147030
9316064013
10137154072
1170468980
1239b236a0
1322551b73
1414303396
15c09339c
hex82cce18

137154072 has 32 divisors (see below), whose sum is σ = 374057280. Its totient is φ = 41561760.

The previous prime is 137154071. The next prime is 137154077. The reversal of 137154072 is 270451731.

It is a super-2 number, since 2×1371540722 = 37622478932362368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137154071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 259498 + ... + 260025.

It is an arithmetic number, because the mean of its divisors is an integer number (11689290).

Almost surely, 2137154072 is an apocalyptic number.

137154072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137154072 is an abundant number, since it is smaller than the sum of its proper divisors (236903208).

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

137154072 is a wasteful number, since it uses less digits than its factorization.

137154072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519543 (or 519539 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 137154072 is about 11711.2796909646. The cubic root of 137154072 is about 515.7068522987.

The spelling of 137154072 in words is "one hundred thirty-seven million, one hundred fifty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 519523 1039046 1558569 2078092 3117138 4156184 5714753 6234276 11429506 12468552 17144259 22859012 34288518 45718024 68577036 137154072