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137150325 = 32521346889
BaseRepresentation
bin10000010110010…
…11111101110101
3100120001221212200
420023023331311
5240102302300
621335335113
73253521114
oct1013137565
9316057780
10137150325
1170466084
1239b21499
1322550250
1414301c7b
15c092200
hex82cbf75

137150325 has 36 divisors (see below), whose sum is σ = 264553380. Its totient is φ = 67518720.

The previous prime is 137150317. The next prime is 137150383. The reversal of 137150325 is 523051731.

137150325 is a `hidden beast` number, since 137 + 1 + 503 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 122080401 = 3882^2 + 11049^2 .

It is not a de Polignac number, because 137150325 - 23 = 137150317 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20520 + ... + 26369.

It is an arithmetic number, because the mean of its divisors is an integer number (7348705).

Almost surely, 2137150325 is an apocalyptic number.

137150325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137150325 is a deficient number, since it is larger than the sum of its proper divisors (127403055).

137150325 is a wasteful number, since it uses less digits than its factorization.

137150325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46918 (or 46910 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 137150325 is about 11711.1197158940. The cubic root of 137150325 is about 515.7021559472.

The spelling of 137150325 in words is "one hundred thirty-seven million, one hundred fifty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 46889 140667 234445 422001 609557 703335 1172225 1828671 2110005 3047785 3516675 5486013 9143355 10550025 15238925 27430065 45716775 137150325