137438560 has 144 divisors (see below), whose sum is σ = 385566048. Its totient is φ = 45342720.

The previous prime is 137438513. The next prime is 137438563. The reversal of 137438560 is 65834731.

137438560 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882684 + ... + 1882756.

It is an arithmetic number, because the mean of its divisors is an integer number (2677542).

Almost surely, 2^137438560 is an apocalyptic number.

137438560 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 137438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192783024).

137438560 is an abundant number, since it is smaller than the sum of its proper divisors (248127488).

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

137438560 is an equidigital number, since it uses as much as digits as its factorization.

137438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 137438560 is about 11723.4192964340. The cubic root of 137438560 is about 516.0631695594.

The spelling of 137438560 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, five hundred sixty".