137382480 has 240 divisors, whose sum is σ = 493968384. Its totient is φ = 35458560.

The previous prime is 137382437. The next prime is 137382493. The reversal of 137382480 is 84283731.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719185 + ... + 719375.

Almost surely, 2^137382480 is an apocalyptic number.

137382480 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 137382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

137382480 is an abundant number, since it is smaller than the sum of its proper divisors (356585904).

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

137382480 is a wasteful number, since it uses less digits than its factorization.

137382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137382480 is about 11721.0272587346. The cubic root of 137382480 is about 515.9929690767.

The spelling of 137382480 in words is "one hundred thirty-seven million, three hundred eighty-two thousand, four hundred eighty".