137085800 has 24 divisors (see below), whose sum is σ = 318724950. Its totient is φ = 54834240.

The previous prime is 137085787. The next prime is 137085827. The reversal of 137085800 is 8580731.

137085800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 128640964 + 8444836 = 11342^2 + 2906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342515 + ... + 342914.

Almost surely, 2^137085800 is an apocalyptic number.

137085800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137085800 is an abundant number, since it is smaller than the sum of its proper divisors (181639150).

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

137085800 is a wasteful number, since it uses less digits than its factorization.

137085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685445 (or 685436 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 137085800 is about 11708.3645313938. The cubic root of 137085800 is about 515.6212692721.

The spelling of 137085800 in words is "one hundred thirty-seven million, eighty-five thousand, eight hundred".