137913888 has 96 divisors (see below), whose sum is σ = 431778816. Its totient is φ = 37686528.

The previous prime is 137913871. The next prime is 137913983. The reversal of 137913888 is 888319731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10995 + ... + 19917.

It is an arithmetic number, because the mean of its divisors is an integer number (4497696).

Almost surely, 2^137913888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137913888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215889408).

137913888 is an abundant number, since it is smaller than the sum of its proper divisors (293864928).

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

137913888 is a wasteful number, since it uses less digits than its factorization.

137913888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8958 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 137913888 is about 11743.6743824069. The cubic root of 137913888 is about 516.6574157668.

The spelling of 137913888 in words is "one hundred thirty-seven million, nine hundred thirteen thousand, eight hundred eighty-eight".