137212272 has 40 divisors (see below), whose sum is σ = 393851280. Its totient is φ = 45737280.

The previous prime is 137212249. The next prime is 137212297. The reversal of 137212272 is 272212731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158379 + ... + 159242.

It is an arithmetic number, because the mean of its divisors is an integer number (9846282).

Almost surely, 2^137212272 is an apocalyptic number.

137212272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137212272 is an abundant number, since it is smaller than the sum of its proper divisors (256639008).

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

137212272 is a wasteful number, since it uses less digits than its factorization.

137212272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317638 (or 317626 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 137212272 is about 11713.7642113882. The cubic root of 137212272 is about 515.7797870500.

The spelling of 137212272 in words is "one hundred thirty-seven million, two hundred twelve thousand, two hundred seventy-two".