137305920 has 112 divisors (see below), whose sum is σ = 439204608. Its totient is φ = 36341760.

The previous prime is 137305879. The next prime is 137305933. The reversal of 137305920 is 29503731.

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, 150265 + ... + 151175.

Almost surely, 2^137305920 is an apocalyptic number.

137305920 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 137305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219602304).

137305920 is an abundant number, since it is smaller than the sum of its proper divisors (301898688).

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

137305920 is a wasteful number, since it uses less digits than its factorization.

137305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 137305920 is about 11717.7608782566. The cubic root of 137305920 is about 515.8971010488.

The spelling of 137305920 in words is "one hundred thirty-seven million, three hundred five thousand, nine hundred twenty".