137472480 has 72 divisors (see below), whose sum is σ = 469129752. Its totient is φ = 36658944.

The previous prime is 137472479. The next prime is 137472487. The reversal of 137472480 is 84274731.

It is a happy number.

137472480 is a `hidden beast` number, since 137 + 47 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (137472487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46294 + ... + 49173.

It is an arithmetic number, because the mean of its divisors is an integer number (6515691).

Almost surely, 2^137472480 is an apocalyptic number.

137472480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137472480 is an abundant number, since it is smaller than the sum of its proper divisors (331657272).

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

137472480 is a wasteful number, since it uses less digits than its factorization.

137472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95488 (or 95477 counting only the distinct ones).

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

The square root of 137472480 is about 11724.8658840944. The cubic root of 137472480 is about 516.1056210685.

The spelling of 137472480 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, four hundred eighty".