137282418 has 144 divisors (see below), whose sum is σ = 385529760. Its totient is φ = 36088416.

The previous prime is 137282407. The next prime is 137282419. The reversal of 137282418 is 814282731.

It is not an unprimeable number, because it can be changed into a prime (137282419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447021 + ... + 447327.

It is an arithmetic number, because the mean of its divisors is an integer number (2677290).

Almost surely, 2^137282418 is an apocalyptic number.

137282418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137282418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192764880).

137282418 is an abundant number, since it is smaller than the sum of its proper divisors (248247342).

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

137282418 is a wasteful number, since it uses less digits than its factorization.

137282418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 137282418 is about 11716.7579986957. The cubic root of 137282418 is about 515.8676648198.

The spelling of 137282418 in words is "one hundred thirty-seven million, two hundred eighty-two thousand, four hundred eighteen".