137013552 has 160 divisors (see below), whose sum is σ = 437749760. Its totient is φ = 40746240.

The previous prime is 137013509. The next prime is 137013589. The reversal of 137013552 is 255310731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173703 + ... + 174489.

It is an arithmetic number, because the mean of its divisors is an integer number (2735936).

Almost surely, 2^137013552 is an apocalyptic number.

137013552 is a gapful number since it is divisible by the number (12) 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 137013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218874880).

137013552 is an abundant number, since it is smaller than the sum of its proper divisors (300736208).

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

137013552 is a wasteful number, since it uses less digits than its factorization.

137013552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 137013552 is about 11705.2788091527. The cubic root of 137013552 is about 515.5306711411.

The spelling of 137013552 in words is "one hundred thirty-seven million, thirteen thousand, five hundred fifty-two".