137569920 has 128 divisors (see below), whose sum is σ = 442549440. Its totient is φ = 36347904.

The previous prime is 137569903. The next prime is 137569921. The reversal of 137569920 is 29965731.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (137569921) 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, 262779 + ... + 263301.

Almost surely, 2^137569920 is an apocalyptic number.

137569920 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 137569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221274720).

137569920 is an abundant number, since it is smaller than the sum of its proper divisors (304979520).

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

137569920 is a wasteful number, since it uses less digits than its factorization.

137569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 137569920 is about 11729.0204194553. The cubic root of 137569920 is about 516.2275302069.

The spelling of 137569920 in words is "one hundred thirty-seven million, five hundred sixty-nine thousand, nine hundred twenty".