137295372 has 48 divisors (see below), whose sum is σ = 336817152. Its totient is φ = 43443840.

The previous prime is 137295343. The next prime is 137295377. The reversal of 137295372 is 273592731.

It is a self number, because there is not a number n which added to its sum of digits gives 137295372.

It is not an unprimeable number, because it can be changed into a prime (137295377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35997 + ... + 39627.

It is an arithmetic number, because the mean of its divisors is an integer number (7017024).

Almost surely, 2^137295372 is an apocalyptic number.

137295372 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 137295372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168408576).

137295372 is an abundant number, since it is smaller than the sum of its proper divisors (199521780).

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

137295372 is a wasteful number, since it uses less digits than its factorization.

137295372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3796 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 137295372 is about 11717.3107836227. The cubic root of 137295372 is about 515.8838901060.

The spelling of 137295372 in words is "one hundred thirty-seven million, two hundred ninety-five thousand, three hundred seventy-two".