137572992 has 96 divisors (see below), whose sum is σ = 410635680. Its totient is φ = 45847296.

The previous prime is 137572969. The next prime is 137572997. The reversal of 137572992 is 299275731.

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

It is not an unprimeable number, because it can be changed into a prime (137572997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28893 + ... + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (4277455).

Almost surely, 2^137572992 is an apocalyptic number.

137572992 is a gapful number since it is divisible by the number (12) 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 137572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205317840).

137572992 is an abundant number, since it is smaller than the sum of its proper divisors (273062688).

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

137572992 is an frugal number, since it uses more digits than its factorization.

137572992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4428 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 137572992 is about 11729.1513759521. The cubic root of 137572992 is about 516.2313727115.

The spelling of 137572992 in words is "one hundred thirty-seven million, five hundred seventy-two thousand, nine hundred ninety-two".