137624980 has 48 divisors (see below), whose sum is σ = 308568960. Its totient is φ = 51408000.

The previous prime is 137624969. The next prime is 137624989. The reversal of 137624980 is 89426731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137624989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24430 + ... + 29530.

It is an arithmetic number, because the mean of its divisors is an integer number (6428520).

Almost surely, 2^137624980 is an apocalyptic number.

137624980 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 137624980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154284480).

137624980 is an abundant number, since it is smaller than the sum of its proper divisors (170943980).

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

137624980 is a wasteful number, since it uses less digits than its factorization.

137624980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 137624980 is about 11731.3673542345. The cubic root of 137624980 is about 516.2963914246.

The spelling of 137624980 in words is "one hundred thirty-seven million, six hundred twenty-four thousand, nine hundred eighty".