137472028272 has 120 divisors (see below), whose sum is σ = 398682451440. Its totient is φ = 44167710720.

The previous prime is 137472028229. The next prime is 137472028273. The reversal of 137472028272 is 272820274731.

137472028272 is a `hidden beast` number, since 1 + 37 + 472 + 0 + 2 + 82 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137472028273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2423272 + ... + 2479352.

It is an arithmetic number, because the mean of its divisors is an integer number (3322353762).

Almost surely, 2^137472028272 is an apocalyptic number.

137472028272 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 137472028272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199341225720).

137472028272 is an abundant number, since it is smaller than the sum of its proper divisors (261210423168).

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

137472028272 is a wasteful number, since it uses less digits than its factorization.

137472028272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56711 (or 56702 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 137472028272 in words is "one hundred thirty-seven billion, four hundred seventy-two million, twenty-eight thousand, two hundred seventy-two".