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137746232 = 231312710429
BaseRepresentation
bin10000011010111…
…01011100111000
3100121012020022022
420031131130320
5240230334412
621400214012
73261552341
oct1015353470
9317166268
10137746232
1170832868
123a16a308
13226cb560
14144190c8
15c15da72
hex835d738

137746232 has 32 divisors (see below), whose sum is σ = 280358400. Its totient is φ = 63068544.

The previous prime is 137746207. The next prime is 137746261. The reversal of 137746232 is 232647731.

137746232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137746192 and 137746201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7994 + ... + 18422.

It is an arithmetic number, because the mean of its divisors is an integer number (8761200).

Almost surely, 2137746232 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 137746232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140179200).

137746232 is an abundant number, since it is smaller than the sum of its proper divisors (142612168).

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

137746232 is a wasteful number, since it uses less digits than its factorization.

137746232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575 (or 10571 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 137746232 is about 11736.5340710109. The cubic root of 137746232 is about 516.4479714509.

The spelling of 137746232 in words is "one hundred thirty-seven million, seven hundred forty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 10429 13208 20858 41716 83432 135577 271154 542308 1084616 1324483 2648966 5297932 10595864 17218279 34436558 68873116 137746232