137827125 has 48 divisors (see below), whose sum is σ = 251123184. Its totient is φ = 72720000.

The previous prime is 137827103. The next prime is 137827187. The reversal of 137827125 is 521728731.

It can be written as a sum of positive squares in 8 ways, for example, as 44395569 + 93431556 = 6663^2 + 9666^2 .

It is not a de Polignac number, because 137827125 - 2⁸ = 137826869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137827125.

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 47 ways as a sum of consecutive naturals, for example, 113019 + ... + 114231.

It is an arithmetic number, because the mean of its divisors is an integer number (5231733).

Almost surely, 2^137827125 is an apocalyptic number.

137827125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137827125 is a deficient number, since it is larger than the sum of its proper divisors (113296059).

137827125 is a wasteful number, since it uses less digits than its factorization.

137827125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1322 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 137827125 is about 11739.9797699996. The cubic root of 137827125 is about 516.5490482640.

The spelling of 137827125 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, one hundred twenty-five".