137367272 has 64 divisors (see below), whose sum is σ = 301104000. Its totient is φ = 57542400.

The previous prime is 137367233. The next prime is 137367299. The reversal of 137367272 is 272763731.

137367272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 842663 + ... + 842825.

It is an arithmetic number, because the mean of its divisors is an integer number (4704750).

Almost surely, 2^137367272 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 137367272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150552000).

137367272 is an abundant number, since it is smaller than the sum of its proper divisors (163736728).

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

137367272 is a wasteful number, since it uses less digits than its factorization.

137367272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its digits is 74088, while the sum is 38.

The square root of 137367272 is about 11720.3784921819. The cubic root of 137367272 is about 515.9739285347.

The spelling of 137367272 in words is "one hundred thirty-seven million, three hundred sixty-seven thousand, two hundred seventy-two".