137075872 has 24 divisors (see below), whose sum is σ = 270739476. Its totient is φ = 68316672.

The previous prime is 137075867. The next prime is 137075891. The reversal of 137075872 is 278570731.

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 9024016 = 11316^2 + 3004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3388 + ... + 16900.

Almost surely, 2^137075872 is an apocalyptic number.

It is an amenable number.

137075872 is a deficient number, since it is larger than the sum of its proper divisors (133663604).

137075872 is a wasteful number, since it uses less digits than its factorization.

137075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 137075872 is about 11707.9405533168. The cubic root of 137075872 is about 515.6088215652.

The spelling of 137075872 in words is "one hundred thirty-seven million, seventy-five thousand, eight hundred seventy-two".