138573573424 has 120 divisors (see below), whose sum is σ = 336510024480. Its totient is φ = 54722426880.

The previous prime is 138573573409. The next prime is 138573573431. The reversal of 138573573424 is 424375375831.

It is a super-3 number, since 3×138573573424³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265917 + ... + 589795.

It is an arithmetic number, because the mean of its divisors is an integer number (2804250204).

Almost surely, 2^138573573424 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 138573573424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168255012240).

138573573424 is an abundant number, since it is smaller than the sum of its proper divisors (197936451056).

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

138573573424 is a wasteful number, since it uses less digits than its factorization.

138573573424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323939 (or 323922 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 52.

The spelling of 138573573424 in words is "one hundred thirty-eight billion, five hundred seventy-three million, five hundred seventy-three thousand, four hundred twenty-four".