137472048 has 90 divisors (see below), whose sum is σ = 447566964. Its totient is φ = 39275712.

The previous prime is 137472043. The next prime is 137472079. The reversal of 137472048 is 840274731.

It is a happy number.

It is a super-3 number, since 3×137472048³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (137472043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2686 + ... + 16797.

Almost surely, 2^137472048 is an apocalyptic number.

137472048 is a gapful number since it is divisible by the number (18) 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 137472048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223783482).

137472048 is an abundant number, since it is smaller than the sum of its proper divisors (310094916).

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

137472048 is a wasteful number, since it uses less digits than its factorization.

137472048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19511 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 137472048 is about 11724.8474616943. The cubic root of 137472048 is about 516.1050804564.

The spelling of 137472048 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, forty-eight".