137052480 has 112 divisors (see below), whose sum is σ = 437448960. Its totient is φ = 36354048.

The previous prime is 137052451. The next prime is 137052497. The reversal of 137052480 is 84250731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352126 + ... + 352514.

Almost surely, 2^137052480 is an apocalyptic number.

137052480 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 137052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218724480).

137052480 is an abundant number, since it is smaller than the sum of its proper divisors (300396480).

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

137052480 is a wasteful number, since it uses less digits than its factorization.

137052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 137052480 is about 11706.9415305621. The cubic root of 137052480 is about 515.5794903452.

The spelling of 137052480 in words is "one hundred thirty-seven million, fifty-two thousand, four hundred eighty".