137981536 has 96 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 51878400.

The previous prime is 137981533. The next prime is 137981587. The reversal of 137981536 is 635189731.

137981536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137981492 and 137981501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137981533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70491 + ... + 72421.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^137981536 is an apocalyptic number.

137981536 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 137981536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

137981536 is an abundant number, since it is smaller than the sum of its proper divisors (212560544).

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

137981536 is a wasteful number, since it uses less digits than its factorization.

137981536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 137981536 is about 11746.5542181527. The cubic root of 137981536 is about 516.7418769920.

The spelling of 137981536 in words is "one hundred thirty-seven million, nine hundred eighty-one thousand, five hundred thirty-six".