137934680 has 128 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 46075392.

The previous prime is 137934649. The next prime is 137934683. The reversal of 137934680 is 86439731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137934683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226937 + ... + 227543.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^137934680 is an apocalyptic number.

137934680 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 137934680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

137934680 is an abundant number, since it is smaller than the sum of its proper divisors (229783720).

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

137934680 is a wasteful number, since it uses less digits than its factorization.

137934680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 137934680 is about 11744.5595915726. The cubic root of 137934680 is about 516.6833783472.

The spelling of 137934680 in words is "one hundred thirty-seven million, nine hundred thirty-four thousand, six hundred eighty".