137504780 has 72 divisors (see below), whose sum is σ = 338109408. Its totient is φ = 46835712.

The previous prime is 137504761. The next prime is 137504803. The reversal of 137504780 is 87405731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 137504780.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188777 + ... + 189503.

It is an arithmetic number, because the mean of its divisors is an integer number (4695964).

Almost surely, 2^137504780 is an apocalyptic number.

137504780 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 137504780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169054704).

137504780 is an abundant number, since it is smaller than the sum of its proper divisors (200604628).

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

137504780 is a wasteful number, since it uses less digits than its factorization.

137504780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 137504780 is about 11726.2432176721. The cubic root of 137504780 is about 516.1460386273.

The spelling of 137504780 in words is "one hundred thirty-seven million, five hundred four thousand, seven hundred eighty".