137632272 has 80 divisors (see below), whose sum is σ = 379297152. Its totient is φ = 42854400.

The previous prime is 137632247. The next prime is 137632273. The reversal of 137632272 is 272236731.

It is not an unprimeable number, because it can be changed into a prime (137632273) 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, 122658 + ... + 123774.

Almost surely, 2^137632272 is an apocalyptic number.

137632272 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 137632272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189648576).

137632272 is an abundant number, since it is smaller than the sum of its proper divisors (241664880).

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

137632272 is a wasteful number, since it uses less digits than its factorization.

137632272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 137632272 is about 11731.6781408288. The cubic root of 137632272 is about 516.3055098438.

The spelling of 137632272 in words is "one hundred thirty-seven million, six hundred thirty-two thousand, two hundred seventy-two".