13542100992 has 650 divisors, whose sum is σ = 49969834398. Its totient is φ = 3641573376.

The previous prime is 13542100939. The next prime is 13542100997. The reversal of 13542100992 is 29900124531.

13542100992 is a `hidden beast` number, since 1 + 3 + 542 + 100 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12745506816 + 796594176 = 112896^2 + 28224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13542100997) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 796594168 + ... + 796594184.

Almost surely, 2^13542100992 is an apocalyptic number.

13542100992 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 13542100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984917199).

13542100992 is an abundant number, since it is smaller than the sum of its proper divisors (36427733406).

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

13542100992 is an frugal number, since it uses more digits than its factorization.

13542100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13542100992 in words is "thirteen billion, five hundred forty-two million, one hundred thousand, nine hundred ninety-two".