137242512 has 120 divisors (see below), whose sum is σ = 434659680. Its totient is φ = 41575680.

The previous prime is 137242499. The next prime is 137242519. The reversal of 137242512 is 215242731.

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

It is not an unprimeable number, because it can be changed into a prime (137242519) by changing a digit.

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, 41164 + ... + 44372.

It is an arithmetic number, because the mean of its divisors is an integer number (3622164).

Almost surely, 2^137242512 is an apocalyptic number.

137242512 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 137242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217329840).

137242512 is an abundant number, since it is smaller than the sum of its proper divisors (297417168).

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

137242512 is a wasteful number, since it uses less digits than its factorization.

137242512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3225 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 137242512 is about 11715.0549294487. The cubic root of 137242512 is about 515.8176749028.

The spelling of 137242512 in words is "one hundred thirty-seven million, two hundred forty-two thousand, five hundred twelve".