137905056 has 144 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 43338240.

The previous prime is 137905049. The next prime is 137905069. The reversal of 137905056 is 650509731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 137905056.

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, 721921 + ... + 722111.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^137905056 is an apocalyptic number.

137905056 is a gapful number since it is divisible by the number (16) 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 137905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

137905056 is an abundant number, since it is smaller than the sum of its proper divisors (277229664).

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

137905056 is a wasteful number, since it uses less digits than its factorization.

137905056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 137905056 is about 11743.2983441621. The cubic root of 137905056 is about 516.6463866245.

The spelling of 137905056 in words is "one hundred thirty-seven million, nine hundred five thousand, fifty-six".