137160036 has 108 divisors (see below), whose sum is σ = 387828532. Its totient is φ = 40601088.

The previous prime is 137159989. The next prime is 137160059. The reversal of 137160036 is 630061731.

It can be written as a sum of positive squares in 6 ways, for example, as 11943936 + 125216100 = 3456^2 + 11190^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137159991 and 137160009.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1541080 + ... + 1541168.

Almost surely, 2^137160036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137160036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914266).

137160036 is an abundant number, since it is smaller than the sum of its proper divisors (250668496).

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

137160036 is a wasteful number, since it uses less digits than its factorization.

137160036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 137160036 is about 11711.5343145123. The cubic root of 137160036 is about 515.7143271797.

The spelling of 137160036 in words is "one hundred thirty-seven million, one hundred sixty thousand, thirty-six".