137752272 has 80 divisors (see below), whose sum is σ = 451895680. Its totient is φ = 39356928.

The previous prime is 137752259. The next prime is 137752273. The reversal of 137752272 is 272257731.

137752272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137752273) 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, 19753 + ... + 25800.

It is an arithmetic number, because the mean of its divisors is an integer number (5648696).

Almost surely, 2^137752272 is an apocalyptic number.

137752272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137752272 is an abundant number, since it is smaller than the sum of its proper divisors (314143408).

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

137752272 is a wasteful number, since it uses less digits than its factorization.

137752272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45577 (or 45565 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 137752272 is about 11736.7913843605. The cubic root of 137752272 is about 516.4555198731.

The spelling of 137752272 in words is "one hundred thirty-seven million, seven hundred fifty-two thousand, two hundred seventy-two".