138891024 has 120 divisors (see below), whose sum is σ = 407578080. Its totient is φ = 45785088.

The previous prime is 138891017. The next prime is 138891079. The reversal of 138891024 is 420198831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138891024.

It is an unprimeable number.

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, 540304 + ... + 540560.

It is an arithmetic number, because the mean of its divisors is an integer number (3396484).

Almost surely, 2^138891024 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 138891024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203789040).

138891024 is an abundant number, since it is smaller than the sum of its proper divisors (268687056).

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

138891024 is a wasteful number, since it uses less digits than its factorization.

138891024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 138891024 is about 11785.2036045204. The cubic root of 138891024 is about 517.8747380267.

The spelling of 138891024 in words is "one hundred thirty-eight million, eight hundred ninety-one thousand, twenty-four".