137978880 has 176 divisors, whose sum is σ = 475952064. Its totient is φ = 33914880.

The previous prime is 137978879. The next prime is 137978881. The reversal of 137978880 is 88879731.

137978880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137978879) and next prime (137978881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137978881) 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, 199335 + ... + 200025.

Almost surely, 2^137978880 is an apocalyptic number.

137978880 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 137978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237976032).

137978880 is an abundant number, since it is smaller than the sum of its proper divisors (337973184).

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

137978880 is a wasteful number, since it uses less digits than its factorization.

137978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The square root of 137978880 is about 11746.4411631779. The cubic root of 137978880 is about 516.7385613908.

The spelling of 137978880 in words is "one hundred thirty-seven million, nine hundred seventy-eight thousand, eight hundred eighty".