10137725 has 12 divisors (see below), whose sum is σ = 13538196. Its totient is φ = 7486080.

The previous prime is 10137719. The next prime is 10137731. The reversal of 10137725 is 52773101.

It is an interprime number because it is at equal distance from previous prime (10137719) and next prime (10137731).

It can be written as a sum of positive squares in 6 ways, for example, as 1125721 + 9012004 = 1061^2 + 3002^2 .

It is not a de Polignac number, because 10137725 - 2⁴ = 10137709 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10137694 and 10137703.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15272 + ... + 15921.

It is an arithmetic number, because the mean of its divisors is an integer number (1128183).

Almost surely, 2^10137725 is an apocalyptic number.

It is an amenable number.

10137725 is a deficient number, since it is larger than the sum of its proper divisors (3400471).

10137725 is a wasteful number, since it uses less digits than its factorization.

10137725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31216 (or 31211 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 10137725 is about 3183.9794283255. The cubic root of 10137725 is about 216.4280278556.

The spelling of 10137725 in words is "ten million, one hundred thirty-seven thousand, seven hundred twenty-five".