137876480 has 88 divisors (see below), whose sum is σ = 378089088. Its totient is φ = 47259648.

The previous prime is 137876461. The next prime is 137876489. The reversal of 137876480 is 84678731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137876489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33917 + ... + 37763.

Almost surely, 2^137876480 is an apocalyptic number.

137876480 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 137876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189044544).

137876480 is an abundant number, since it is smaller than the sum of its proper divisors (240212608).

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

137876480 is an equidigital number, since it uses as much as digits as its factorization.

137876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 137876480 is about 11742.0815871804. The cubic root of 137876480 is about 516.6106985276.

The spelling of 137876480 in words is "one hundred thirty-seven million, eight hundred seventy-six thousand, four hundred eighty".