138333199680 has 2240 divisors, whose sum is σ = 624554219520. Its totient is φ = 28665446400.

The previous prime is 138333199621. The next prime is 138333199681. The reversal of 138333199680 is 86991333831.

138333199680 is a `hidden beast` number, since 138 + 33 + 319 + 96 + 80 = 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 (138333199681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3373980460 + ... + 3373980500.

It is an arithmetic number, because the mean of its divisors is an integer number (278818848).

Almost surely, 2^138333199680 is an apocalyptic number.

138333199680 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 138333199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312277109760).

138333199680 is an abundant number, since it is smaller than the sum of its proper divisors (486221019840).

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

138333199680 is a wasteful number, since it uses less digits than its factorization.

138333199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 138333199680 in words is "one hundred thirty-eight billion, three hundred thirty-three million, one hundred ninety-nine thousand, six hundred eighty".