13542100 has 72 divisors (see below), whose sum is σ = 34560288. Its totient is φ = 4540800.

The previous prime is 13542097. The next prime is 13542143. The reversal of 13542100 is 124531.

13542100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13827 + ... + 14773.

It is an arithmetic number, because the mean of its divisors is an integer number (480004).

Almost surely, 2^13542100 is an apocalyptic number.

13542100 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 13542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280144).

13542100 is an abundant number, since it is smaller than the sum of its proper divisors (21018188).

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

13542100 is a wasteful number, since it uses less digits than its factorization.

13542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13542100 is about 3679.9592389047. The cubic root of 13542100 is about 238.3574179235.

Adding to 13542100 its reverse (124531), we get a palindrome (13666631).

Subtracting from 13542100 its reverse (124531), we obtain a square (13417569 = 3663²).

The spelling of 13542100 in words is "thirteen million, five hundred forty-two thousand, one hundred".