13542109812 has 432 divisors, whose sum is σ = 45891256320. Its totient is φ = 3324585600.

The previous prime is 13542109771. The next prime is 13542109813. The reversal of 13542109812 is 21890124531.

13542109812 is a `hidden beast` number, since 1 + 3 + 542 + 10 + 98 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542109813) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28271389 + ... + 28271867.

It is an arithmetic number, because the mean of its divisors is an integer number (106229760).

Almost surely, 2^13542109812 is an apocalyptic number.

13542109812 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 13542109812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945628160).

13542109812 is an abundant number, since it is smaller than the sum of its proper divisors (32349146508).

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

13542109812 is a wasteful number, since it uses less digits than its factorization.

13542109812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13542109812 in words is "thirteen billion, five hundred forty-two million, one hundred nine thousand, eight hundred twelve".