137197872 has 120 divisors (see below), whose sum is σ = 442590720. Its totient is φ = 38862720.

The previous prime is 137197831. The next prime is 137197883. The reversal of 137197872 is 278791731.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131529 + ... + 132567.

It is an arithmetic number, because the mean of its divisors is an integer number (3688256).

Almost surely, 2^137197872 is an apocalyptic number.

137197872 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 137197872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221295360).

137197872 is an abundant number, since it is smaller than the sum of its proper divisors (305392848).

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

137197872 is a wasteful number, since it uses less digits than its factorization.

137197872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1182 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 137197872 is about 11713.1495337505. The cubic root of 137197872 is about 515.7617432588.

The spelling of 137197872 in words is "one hundred thirty-seven million, one hundred ninety-seven thousand, eight hundred seventy-two".