137385000 has 240 divisors, whose sum is σ = 482470560. Its totient is φ = 35280000.

The previous prime is 137384999. The next prime is 137385011. The reversal of 137385000 is 583731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1934965 + ... + 1935035.

It is an arithmetic number, because the mean of its divisors is an integer number (2010294).

Almost surely, 2^137385000 is an apocalyptic number.

137385000 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 137385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241235280).

137385000 is an abundant number, since it is smaller than the sum of its proper divisors (345085560).

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

137385000 is a wasteful number, since it uses less digits than its factorization.

137385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137385000 is about 11721.1347573518. The cubic root of 137385000 is about 515.9961240019.

The spelling of 137385000 in words is "one hundred thirty-seven million, three hundred eighty-five thousand".