Search a number
-
+
137595372 = 223292711459
BaseRepresentation
bin10000011001110…
…00100111101100
3100120220120100220
420030320213230
5240211022442
621353051340
73260353455
oct1014704754
9316816326
10137595372
117073a492
123a0b6b50
13226779a5
14143ba12c
15c12deec
hex83389ec

137595372 has 48 divisors (see below), whose sum is σ = 333580800. Its totient is φ = 44089920.

The previous prime is 137595349. The next prime is 137595389. The reversal of 137595372 is 273595731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93579 + ... + 95037.

It is an arithmetic number, because the mean of its divisors is an integer number (6949600).

Almost surely, 2137595372 is an apocalyptic number.

137595372 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 137595372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166790400).

137595372 is an abundant number, since it is smaller than the sum of its proper divisors (195985428).

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

137595372 is a wasteful number, since it uses less digits than its factorization.

137595372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1764 counting only the distinct ones).

The product of its digits is 198450, while the sum is 42.

The square root of 137595372 is about 11730.1053703707. The cubic root of 137595372 is about 516.2593642320.

The spelling of 137595372 in words is "one hundred thirty-seven million, five hundred ninety-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 271 348 542 813 1084 1459 1626 2918 3252 4377 5836 7859 8754 15718 17508 23577 31436 42311 47154 84622 94308 126933 169244 253866 395389 507732 790778 1186167 1581556 2372334 4744668 11466281 22932562 34398843 45865124 68797686 137595372