137980080 has 180 divisors, whose sum is σ = 539175312. Its totient is φ = 31530240.

The previous prime is 137980069. The next prime is 137980081. The reversal of 137980080 is 80089731.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137980081) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33325 + ... + 37235.

Almost surely, 2^137980080 is an apocalyptic number.

137980080 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 137980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269587656).

137980080 is an abundant number, since it is smaller than the sum of its proper divisors (401195232).

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

137980080 is a wasteful number, since it uses less digits than its factorization.

137980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 137980080 is about 11746.4922423675. The cubic root of 137980080 is about 516.7400594087.

The spelling of 137980080 in words is "one hundred thirty-seven million, nine hundred eighty thousand, eighty".