138182236416 has 720 divisors, whose sum is σ = 516056365440. Its totient is φ = 35858350080.

The previous prime is 138182236391. The next prime is 138182236421. The reversal of 138182236416 is 614632281831.

138182236416 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 223 + 6 + 416 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71558971 + ... + 71560901.

It is an arithmetic number, because the mean of its divisors is an integer number (716744952).

Almost surely, 2^138182236416 is an apocalyptic number.

138182236416 is a gapful number since it is divisible by the number (16) 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 138182236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258028182720).

138182236416 is an abundant number, since it is smaller than the sum of its proper divisors (377874129024).

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

138182236416 is a wasteful number, since it uses less digits than its factorization.

138182236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1989 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 138182236416 in words is "one hundred thirty-eight billion, one hundred eighty-two million, two hundred thirty-six thousand, four hundred sixteen".