138824075412500 has 72 divisors (see below), whose sum is σ = 303725549070720. Its totient is φ = 55517319540000.

The previous prime is 138824075412497. The next prime is 138824075412559. The reversal of 138824075412500 is 5214570428831.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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, 55258697 + ... + 57716303.

It is an arithmetic number, because the mean of its divisors is an integer number (4218410403760).

Almost surely, 2^{138824075412500} is an apocalyptic number.

138824075412500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138824075412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151862774535360).

138824075412500 is an abundant number, since it is smaller than the sum of its proper divisors (164901473658220).

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

138824075412500 is an equidigital number, since it uses as much as digits as its factorization.

138824075412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462155 (or 2462133 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 138824075412500 in words is "one hundred thirty-eight trillion, eight hundred twenty-four billion, seventy-five million, four hundred twelve thousand, five hundred".