137032680 has 64 divisors (see below), whose sum is σ = 416756160. Its totient is φ = 36039168.

The previous prime is 137032673. The next prime is 137032691. The reversal of 137032680 is 86230731.

137032680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939 + ... + 16581.

It is an arithmetic number, because the mean of its divisors is an integer number (6511815).

Almost surely, 2^137032680 is an apocalyptic number.

137032680 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 137032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208378080).

137032680 is an abundant number, since it is smaller than the sum of its proper divisors (279723480).

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

137032680 is a wasteful number, since it uses less digits than its factorization.

137032680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15730 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137032680 is about 11706.0958478905. The cubic root of 137032680 is about 515.5546605244.

The spelling of 137032680 in words is "one hundred thirty-seven million, thirty-two thousand, six hundred eighty".