137985336 has 64 divisors (see below), whose sum is σ = 392666400. Its totient is φ = 44870400.

The previous prime is 137985329. The next prime is 137985343. The reversal of 137985336 is 633589731.

137985336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137985329) and next prime (137985343).

It is a junction number, because it is equal to n+sod(n) for n = 137985291 and 137985300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066 + ... + 16646.

Almost surely, 2^137985336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137985336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196333200).

137985336 is an abundant number, since it is smaller than the sum of its proper divisors (254681064).

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

137985336 is a wasteful number, since it uses less digits than its factorization.

137985336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637 (or 15627 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 137985336 is about 11746.7159666010. The cubic root of 137985336 is about 516.7466206246.

The spelling of 137985336 in words is "one hundred thirty-seven million, nine hundred eighty-five thousand, three hundred thirty-six".