137584870160 has 40 divisors (see below), whose sum is σ = 319903107480. Its totient is φ = 55030802432.

The previous prime is 137584870151. The next prime is 137584870219. The reversal of 137584870160 is 61078485731.

It can be written as a sum of positive squares in 4 ways, for example, as 791409424 + 136793460736 = 28132^2 + 369856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 137584870099 and 137584870108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1783754 + ... + 1859286.

It is an arithmetic number, because the mean of its divisors is an integer number (7997577687).

Almost surely, 2^137584870160 is an apocalyptic number.

137584870160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137584870160 is an abundant number, since it is smaller than the sum of its proper divisors (182318237320).

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

137584870160 is a wasteful number, since it uses less digits than its factorization.

137584870160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98315 (or 98309 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 137584870160 in words is "one hundred thirty-seven billion, five hundred eighty-four million, eight hundred seventy thousand, one hundred sixty".