138653016192 has 768 divisors, whose sum is σ = 474896822400. Its totient is φ = 39988297728.

The previous prime is 138653016157. The next prime is 138653016197. The reversal of 138653016192 is 291610356831.

138653016192 is a `hidden beast` number, since 13 + 8 + 6 + 530 + 16 + 1 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (138653016197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371723718 + ... + 371724090.

Almost surely, 2^138653016192 is an apocalyptic number.

138653016192 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 138653016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237448411200).

138653016192 is an abundant number, since it is smaller than the sum of its proper divisors (336243806208).

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

138653016192 is a wasteful number, since it uses less digits than its factorization.

138653016192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 138653016192 in words is "one hundred thirty-eight billion, six hundred fifty-three million, sixteen thousand, one hundred ninety-two".