137563536 has 160 divisors (see below), whose sum is σ = 406973952. Its totient is φ = 39674880.

The previous prime is 137563513. The next prime is 137563537. The reversal of 137563536 is 635365731.

137563536 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 = 137563494 and 137563503.

It is not an unprimeable number, because it can be changed into a prime (137563537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657351 + ... + 1657433.

Almost surely, 2^137563536 is an apocalyptic number.

137563536 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 137563536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203486976).

137563536 is an abundant number, since it is smaller than the sum of its proper divisors (269410416).

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

137563536 is a wasteful number, since it uses less digits than its factorization.

137563536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 170100, while the sum is 39.

The square root of 137563536 is about 11728.7482708088. The cubic root of 137563536 is about 516.2195448189.

The spelling of 137563536 in words is "one hundred thirty-seven million, five hundred sixty-three thousand, five hundred thirty-six".