13542513408 has 216 divisors, whose sum is σ = 39799010160. Its totient is φ = 4428103680.

The previous prime is 13542513403. The next prime is 13542513419. The reversal of 13542513408 is 80431524531.

13542513408 is a `hidden beast` number, since 13 + 54 + 251 + 340 + 8 = 666.

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 (13542513403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43266660 + ... + 43266972.

Almost surely, 2^13542513408 is an apocalyptic number.

13542513408 is a gapful number since it is divisible by the number (18) 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 13542513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899505080).

13542513408 is an abundant number, since it is smaller than the sum of its proper divisors (26256496752).

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

13542513408 is a wasteful number, since it uses less digits than its factorization.

13542513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13542513408 in words is "thirteen billion, five hundred forty-two million, five hundred thirteen thousand, four hundred eight".