137879280 has 320 divisors, whose sum is σ = 592819200. Its totient is φ = 28615680.

The previous prime is 137879267. The next prime is 137879303. The reversal of 137879280 is 82978731.

137879280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165906 + ... + 166734.

It is an arithmetic number, because the mean of its divisors is an integer number (1852560).

Almost surely, 2^137879280 is an apocalyptic number.

137879280 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 137879280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296409600).

137879280 is an abundant number, since it is smaller than the sum of its proper divisors (454939920).

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

137879280 is a wasteful number, since it uses less digits than its factorization.

137879280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 137879280 is about 11742.2008158607. The cubic root of 137879280 is about 516.6141956195.

The spelling of 137879280 in words is "one hundred thirty-seven million, eight hundred seventy-nine thousand, two hundred eighty".