138258432144 has 800 divisors, whose sum is σ = 491651072000. Its totient is φ = 37447038720.

The previous prime is 138258432127. The next prime is 138258432173. The reversal of 138258432144 is 441234852831.

138258432144 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 584 + 3 + 21 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138258432144.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1088649009 + ... + 1088649135.

It is an arithmetic number, because the mean of its divisors is an integer number (614563840).

Almost surely, 2^138258432144 is an apocalyptic number.

138258432144 is a gapful number since it is divisible by the number (14) 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 138258432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245825536000).

138258432144 is an abundant number, since it is smaller than the sum of its proper divisors (353392639856).

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

138258432144 is a wasteful number, since it uses less digits than its factorization.

138258432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 138258432144 in words is "one hundred thirty-eight billion, two hundred fifty-eight million, four hundred thirty-two thousand, one hundred forty-four".