137037825 has 120 divisors (see below), whose sum is σ = 273672960. Its totient is φ = 67651200.

The previous prime is 137037821. The next prime is 137037827. The reversal of 137037825 is 528730731.

It is not a de Polignac number, because 137037825 - 2² = 137037821 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137037825.

It is not an unprimeable number, because it can be changed into a prime (137037821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2322646 + ... + 2322704.

It is an arithmetic number, because the mean of its divisors is an integer number (2280608).

Almost surely, 2^137037825 is an apocalyptic number.

137037825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137037825 is a deficient number, since it is larger than the sum of its proper divisors (136635135).

137037825 is a wasteful number, since it uses less digits than its factorization.

137037825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137037825 is about 11706.3156031264. The cubic root of 137037825 is about 515.5611127457.

It can be divided in two parts, 13703 and 7825, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 137037825 in words is "one hundred thirty-seven million, thirty-seven thousand, eight hundred twenty-five".