137242336 has 144 divisors (see below), whose sum is σ = 350768880. Its totient is φ = 52254720.

The previous prime is 137242289. The next prime is 137242349. The reversal of 137242336 is 633242731.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137242298 and 137242307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259050 + ... + 1259158.

It is an arithmetic number, because the mean of its divisors is an integer number (2435895).

Almost surely, 2^137242336 is an apocalyptic number.

137242336 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 137242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175384440).

137242336 is an abundant number, since it is smaller than the sum of its proper divisors (213526544).

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

137242336 is a wasteful number, since it uses less digits than its factorization.

137242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its digits is 18144, while the sum is 31.

The square root of 137242336 is about 11715.0474177444. The cubic root of 137242336 is about 515.8174544076.

The spelling of 137242336 in words is "one hundred thirty-seven million, two hundred forty-two thousand, three hundred thirty-six".