137474480 has 160 divisors (see below), whose sum is σ = 383600448. Its totient is φ = 45158400.

The previous prime is 137474459. The next prime is 137474489. The reversal of 137474480 is 84474731.

It is not an unprimeable number, because it can be changed into a prime (137474489) 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 31 ways as a sum of consecutive naturals, for example, 697742 + ... + 697938.

Almost surely, 2^137474480 is an apocalyptic number.

137474480 is a gapful number since it is divisible by the number (10) 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 137474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191800224).

137474480 is an abundant number, since it is smaller than the sum of its proper divisors (246125968).

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

137474480 is a wasteful number, since it uses less digits than its factorization.

137474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 137474480 is about 11724.9511726062. The cubic root of 137474480 is about 516.1081238876.

The spelling of 137474480 in words is "one hundred thirty-seven million, four hundred seventy-four thousand, four hundred eighty".