137974848 has 84 divisors (see below), whose sum is σ = 401330160. Its totient is φ = 41803520.

The previous prime is 137974841. The next prime is 137974849. The reversal of 137974848 is 848479731.

It is a self number, because there is not a number n which added to its sum of digits gives 137974848.

It is not an unprimeable number, because it can be changed into a prime (137974841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20263 + ... + 26201.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^137974848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200665080).

137974848 is an abundant number, since it is smaller than the sum of its proper divisors (263355312).

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

137974848 is a wasteful number, since it uses less digits than its factorization.

137974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5955 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 137974848 is about 11746.2695354738. The cubic root of 137974848 is about 516.7335279872.

The spelling of 137974848 in words is "one hundred thirty-seven million, nine hundred seventy-four thousand, eight hundred forty-eight".