137715000 has 80 divisors (see below), whose sum is σ = 430268520. Its totient is φ = 36720000.

The previous prime is 137714971. The next prime is 137715001. The reversal of 137715000 is 517731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137715001) 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 19 ways as a sum of consecutive naturals, for example, 10410 + ... + 19590.

Almost surely, 2^137715000 is an apocalyptic number.

137715000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137715000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215134260).

137715000 is an abundant number, since it is smaller than the sum of its proper divisors (292553520).

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

137715000 is an equidigital number, since it uses as much as digits as its factorization.

137715000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 137715000 is about 11735.2034494507. The cubic root of 137715000 is about 516.4089360885.

The spelling of 137715000 in words is "one hundred thirty-seven million, seven hundred fifteen thousand".