13540362100 has 72 divisors (see below), whose sum is σ = 29791843200. Its totient is φ = 5341036800.

The previous prime is 13540362083. The next prime is 13540362161. The reversal of 13540362100 is 126304531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727285 + ... + 3730915.

It is an arithmetic number, because the mean of its divisors is an integer number (413775600).

Almost surely, 2^13540362100 is an apocalyptic number.

13540362100 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 13540362100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895921600).

13540362100 is an abundant number, since it is smaller than the sum of its proper divisors (16251481100).

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

13540362100 is a wasteful number, since it uses less digits than its factorization.

13540362100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13540362100 its reverse (126304531), we get a palindrome (13666666631).

The spelling of 13540362100 in words is "thirteen billion, five hundred forty million, three hundred sixty-two thousand, one hundred".