137084480 has 112 divisors (see below), whose sum is σ = 363224064. Its totient is φ = 48936960.

The previous prime is 137084471. The next prime is 137084483. The reversal of 137084480 is 84480731.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137084480.

It is not an unprimeable number, because it can be changed into a prime (137084483) 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, 128429 + ... + 129491.

It is an arithmetic number, because the mean of its divisors is an integer number (3243072).

Almost surely, 2^137084480 is an apocalyptic number.

137084480 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 137084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181612032).

137084480 is an abundant number, since it is smaller than the sum of its proper divisors (226139584).

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

137084480 is a wasteful number, since it uses less digits than its factorization.

137084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 137084480 is about 11708.3081613015. The cubic root of 137084480 is about 515.6196142933.

The spelling of 137084480 in words is "one hundred thirty-seven million, eighty-four thousand, four hundred eighty".