137824680 has 128 divisors (see below), whose sum is σ = 482734080. Its totient is φ = 30823680.

The previous prime is 137824669. The next prime is 137824691. The reversal of 137824680 is 86428731.

It is an interprime number because it is at equal distance from previous prime (137824669) and next prime (137824691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37735 + ... + 41225.

It is an arithmetic number, because the mean of its divisors is an integer number (3771360).

Almost surely, 2^137824680 is an apocalyptic number.

137824680 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 137824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241367040).

137824680 is an abundant number, since it is smaller than the sum of its proper divisors (344909400).

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

137824680 is a wasteful number, since it uses less digits than its factorization.

137824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 137824680 is about 11739.8756381829. The cubic root of 137824680 is about 516.5459937856.

The spelling of 137824680 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, six hundred eighty".