137937856 has 56 divisors (see below), whose sum is σ = 319527936. Its totient is φ = 57849600.

The previous prime is 137937841. The next prime is 137937859. The reversal of 137937856 is 658739731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137937859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17781 + ... + 24331.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^137937856 is an apocalyptic number.

137937856 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 137937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

137937856 is an abundant number, since it is smaller than the sum of its proper divisors (181590080).

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

137937856 is an equidigital number, since it uses as much as digits as its factorization.

137937856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6607 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 137937856 is about 11744.6948023352. The cubic root of 137937856 is about 516.6873439291.

The spelling of 137937856 in words is "one hundred thirty-seven million, nine hundred thirty-seven thousand, eight hundred fifty-six".