138459428352 has 480 divisors, whose sum is σ = 497673623040. Its totient is φ = 37225267200.

The previous prime is 138459428351. The next prime is 138459428357. The reversal of 138459428352 is 253824954831.

138459428352 is a `hidden beast` number, since 13 + 8 + 4 + 594 + 2 + 8 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138459428351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27963477 + ... + 27968427.

It is an arithmetic number, because the mean of its divisors is an integer number (1036820048).

Almost surely, 2^138459428352 is an apocalyptic number.

138459428352 is a gapful number since it is divisible by the number (12) 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 138459428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248836811520).

138459428352 is an abundant number, since it is smaller than the sum of its proper divisors (359214194688).

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

138459428352 is an equidigital number, since it uses as much as digits as its factorization.

138459428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 4980 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 138459428352 in words is "one hundred thirty-eight billion, four hundred fifty-nine million, four hundred twenty-eight thousand, three hundred fifty-two".