137853508 has 24 divisors (see below), whose sum is σ = 261139032. Its totient is φ = 63297024.

The previous prime is 137853479. The next prime is 137853509. The reversal of 137853508 is 805358731.

It can be written as a sum of positive squares in 4 ways, for example, as 84971524 + 52881984 = 9218^2 + 7272^2 .

It is not an unprimeable number, because it can be changed into a prime (137853509) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3516 + ... + 16972.

It is an arithmetic number, because the mean of its divisors is an integer number (10880793).

Almost surely, 2^137853508 is an apocalyptic number.

It is an amenable number.

137853508 is a deficient number, since it is larger than the sum of its proper divisors (123285524).

137853508 is a wasteful number, since it uses less digits than its factorization.

137853508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 137853508 is about 11741.1033553069. The cubic root of 137853508 is about 516.5820055986.

The spelling of 137853508 in words is "one hundred thirty-seven million, eight hundred fifty-three thousand, five hundred eight".