137845125 has 128 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 64584000.

The previous prime is 137845087. The next prime is 137845159. The reversal of 137845125 is 521548731.

137845125 is a `hidden beast` number, since 137 + 8 + 4 + 512 + 5 = 666.

It is not a de Polignac number, because 137845125 - 2⁹ = 137844613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137845125.

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 127 ways as a sum of consecutive naturals, for example, 1744836 + ... + 1744914.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^137845125 is an apocalyptic number.

137845125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137845125 is an abundant number, since it is smaller than the sum of its proper divisors (149694075).

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

137845125 is a wasteful number, since it uses less digits than its factorization.

137845125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 137845125 is about 11740.7463561734. The cubic root of 137845125 is about 516.5715341090.

The spelling of 137845125 in words is "one hundred thirty-seven million, eight hundred forty-five thousand, one hundred twenty-five".