137864880 has 240 divisors, whose sum is σ = 488126496. Its totient is φ = 34836480.

The previous prime is 137864879. The next prime is 137864897. The reversal of 137864880 is 88468731.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888524 + ... + 1888596.

Almost surely, 2^137864880 is an apocalyptic number.

137864880 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 137864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244063248).

137864880 is an abundant number, since it is smaller than the sum of its proper divisors (350261616).

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

137864880 is a wasteful number, since it uses less digits than its factorization.

137864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 137864880 is about 11741.5876268927. The cubic root of 137864880 is about 516.5962100710.

The spelling of 137864880 in words is "one hundred thirty-seven million, eight hundred sixty-four thousand, eight hundred eighty".