137893824 has 84 divisors (see below), whose sum is σ = 404957280. Its totient is φ = 44835840.

The previous prime is 137893807. The next prime is 137893831. The reversal of 137893824 is 428398731.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 137893824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20697 + ... + 26535.

It is an arithmetic number, because the mean of its divisors is an integer number (4820920).

Almost surely, 2^137893824 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 137893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202478640).

137893824 is an abundant number, since it is smaller than the sum of its proper divisors (267063456).

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

137893824 is a wasteful number, since it uses less digits than its factorization.

137893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5885 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 137893824 is about 11742.8201042169. The cubic root of 137893824 is about 516.6323597523.

The spelling of 137893824 in words is "one hundred thirty-seven million, eight hundred ninety-three thousand, eight hundred twenty-four".