137756352 has 56 divisors (see below), whose sum is σ = 365542576. Its totient is φ = 45785088.

The previous prime is 137756341. The next prime is 137756371. The reversal of 137756352 is 253657731.

137756352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137756352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82308 + ... + 83964.

It is an arithmetic number, because the mean of its divisors is an integer number (6527546).

Almost surely, 2^137756352 is an apocalyptic number.

137756352 is a gapful number since it is divisible by the number (12) 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 137756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182771288).

137756352 is an abundant number, since it is smaller than the sum of its proper divisors (227786224).

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

137756352 is a wasteful number, since it uses less digits than its factorization.

137756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2095 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 137756352 is about 11736.9651954839. The cubic root of 137756352 is about 516.4606186825.

The spelling of 137756352 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, three hundred fifty-two".