13540208100 has 144 divisors (see below), whose sum is σ = 40998709248. Its totient is φ = 3443679360.

The previous prime is 13540208069. The next prime is 13540208111. The reversal of 13540208100 is 180204531.

It is a super-2 number, since 2×13540208100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529627 + ... + 2534973.

Almost surely, 2^13540208100 is an apocalyptic number.

13540208100 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 13540208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499354624).

13540208100 is an abundant number, since it is smaller than the sum of its proper divisors (27458501148).

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

13540208100 is a wasteful number, since it uses less digits than its factorization.

13540208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 13540208100 in words is "thirteen billion, five hundred forty million, two hundred eight thousand, one hundred".