137985600 has 336 divisors, whose sum is σ = 510235200. Its totient is φ = 32440320.

The previous prime is 137985593. The next prime is 137985637. The reversal of 137985600 is 6589731.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550356 + ... + 1550444.

Almost surely, 2^137985600 is an apocalyptic number.

137985600 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 137985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255117600).

137985600 is an abundant number, since it is smaller than the sum of its proper divisors (372249600).

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

137985600 is a wasteful number, since it uses less digits than its factorization.

137985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 137985600 is about 11746.7272037789. The cubic root of 137985600 is about 516.7469501789.

The spelling of 137985600 in words is "one hundred thirty-seven million, nine hundred eighty-five thousand, six hundred".