137913000 has 64 divisors (see below), whose sum is σ = 430297920. Its totient is φ = 36776000.

The previous prime is 137912977. The next prime is 137913011. The reversal of 137913000 is 319731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19986 + ... + 25985.

It is an arithmetic number, because the mean of its divisors is an integer number (6723405).

Almost surely, 2^137913000 is an apocalyptic number.

137913000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137913000 is an abundant number, since it is smaller than the sum of its proper divisors (292384920).

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

137913000 is a wasteful number, since it uses less digits than its factorization.

137913000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45995 (or 45981 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 24.

The square root of 137913000 is about 11743.6365747583. The cubic root of 137913000 is about 516.6563068798.

The spelling of 137913000 in words is "one hundred thirty-seven million, nine hundred thirteen thousand".