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137504232 = 23323795039
BaseRepresentation
bin10000011001000…
…10010111101000
3100120201221100100
420030202113220
5240200113412
621351105400
73256523655
oct1014422750
9316657310
10137504232
1170687a68
123a072260
1322645368
1414394c2c
15c111edc
hex83225e8

137504232 has 48 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 45704736.

The previous prime is 137504219. The next prime is 137504243. The reversal of 137504232 is 232405731.

137504232 is a `hidden beast` number, since 137 + 504 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137504196 and 137504205.

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 11 ways as a sum of consecutive naturals, for example, 24769 + ... + 29807.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2137504232 is an apocalyptic number.

137504232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137504232 is an abundant number, since it is smaller than the sum of its proper divisors (235959768).

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

137504232 is a wasteful number, since it uses less digits than its factorization.

137504232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 137504232 is about 11726.2198512564. The cubic root of 137504232 is about 516.1453529580.

Adding to 137504232 its reverse (232405731), we get a palindrome (369909963).

The spelling of 137504232 in words is "one hundred thirty-seven million, five hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 379 758 1137 1516 2274 3032 3411 4548 5039 6822 9096 10078 13644 15117 20156 27288 30234 40312 45351 60468 90702 120936 181404 362808 1909781 3819562 5729343 7639124 11458686 15278248 17188029 22917372 34376058 45834744 68752116 137504232