137883280 has 20 divisors (see below), whose sum is σ = 320578812. Its totient is φ = 55153280.

The previous prime is 137883233. The next prime is 137883293. The reversal of 137883280 is 82388731.

137883280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40347904 + 97535376 = 6352^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 861691 + ... + 861850.

Almost surely, 2^137883280 is an apocalyptic number.

137883280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137883280 is an abundant number, since it is smaller than the sum of its proper divisors (182695532).

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

137883280 is a wasteful number, since it uses less digits than its factorization.

137883280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723554 (or 1723548 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 137883280 is about 11742.3711404469. The cubic root of 137883280 is about 516.6191913829.

The spelling of 137883280 in words is "one hundred thirty-seven million, eight hundred eighty-three thousand, two hundred eighty".