137982138 has 48 divisors (see below), whose sum is σ = 328878144. Its totient is φ = 38458560.

The previous prime is 137982127. The next prime is 137982167. The reversal of 137982138 is 831289731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137982138.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6331 + ... + 17777.

It is an arithmetic number, because the mean of its divisors is an integer number (6851628).

Almost surely, 2^137982138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137982138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164439072).

137982138 is an abundant number, since it is smaller than the sum of its proper divisors (190896006).

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

137982138 is a wasteful number, since it uses less digits than its factorization.

137982138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11500 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 137982138 is about 11746.5798426606. The cubic root of 137982138 is about 516.7426284891.

The spelling of 137982138 in words is "one hundred thirty-seven million, nine hundred eighty-two thousand, one hundred thirty-eight".