137435616 has 120 divisors (see below), whose sum is σ = 428107680. Its totient is φ = 43103232.

The previous prime is 137435591. The next prime is 137435651. The reversal of 137435616 is 616534731.

137435616 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 35 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42505 + ... + 45623.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^137435616 is an apocalyptic number.

137435616 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 137435616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

137435616 is an abundant number, since it is smaller than the sum of its proper divisors (290672064).

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

137435616 is a wasteful number, since it uses less digits than its factorization.

137435616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3141 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 137435616 is about 11723.2937351241. The cubic root of 137435616 is about 516.0594847594.

The spelling of 137435616 in words is "one hundred thirty-seven million, four hundred thirty-five thousand, six hundred sixteen".