137352816 has 120 divisors (see below), whose sum is σ = 410866560. Its totient is φ = 42739200.

The previous prime is 137352811. The next prime is 137352823. The reversal of 137352816 is 618253731.

137352816 is a `hidden beast` number, since 1 + 373 + 5 + 281 + 6 = 666.

137352816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137352811) 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, 128926 + ... + 129986.

It is an arithmetic number, because the mean of its divisors is an integer number (3423888).

Almost surely, 2^137352816 is an apocalyptic number.

137352816 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 137352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205433280).

137352816 is an abundant number, since it is smaller than the sum of its proper divisors (273513744).

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

137352816 is a wasteful number, since it uses less digits than its factorization.

137352816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137352816 is about 11719.7617723228. The cubic root of 137352816 is about 515.9558282001.

The spelling of 137352816 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, eight hundred sixteen".