13542540 has 144 divisors (see below), whose sum is σ = 44561664. Its totient is φ = 3046400.

The previous prime is 13542539. The next prime is 13542553. The reversal of 13542540 is 4524531.

It is a self number, because there is not a number n which added to its sum of digits gives 13542540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190705 + ... + 190775.

It is an arithmetic number, because the mean of its divisors is an integer number (309456).

Almost surely, 2^13542540 is an apocalyptic number.

13542540 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 13542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280832).

13542540 is an abundant number, since it is smaller than the sum of its proper divisors (31019124).

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

13542540 is a wasteful number, since it uses less digits than its factorization.

13542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 13542540 is about 3680.0190216900. The cubic root of 13542540 is about 238.3599994071.

Subtracting from 13542540 its reverse (4524531), we obtain a square (9018009 = 3003²).

The spelling of 13542540 in words is "thirteen million, five hundred forty-two thousand, five hundred forty".