13752135 has 12 divisors (see below), whose sum is σ = 23837112. Its totient is φ = 7334448.

The previous prime is 13752113. The next prime is 13752157. The reversal of 13752135 is 53125731.

13752135 is a `hidden beast` number, since 137 + 521 + 3 + 5 = 666.

13752135 is nontrivially palindromic in base 4.

13752135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13752113) and next prime (13752157).

It is not a de Polignac number, because 13752135 - 2⁵ = 13752103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13752099 and 13752108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152757 + ... + 152846.

It is an arithmetic number, because the mean of its divisors is an integer number (1986426).

Almost surely, 2^13752135 is an apocalyptic number.

13752135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13752135 is a deficient number, since it is larger than the sum of its proper divisors (10084977).

13752135 is a wasteful number, since it uses less digits than its factorization.

13752135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305614 (or 305611 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13752135 is about 3708.3871157149. The cubic root of 13752135 is about 239.5833918252.

Adding to 13752135 its reverse (53125731), we get a palindrome (66877866).

The spelling of 13752135 in words is "thirteen million, seven hundred fifty-two thousand, one hundred thirty-five".