135105724 has 24 divisors (see below), whose sum is σ = 255095568. Its totient is φ = 62240640.

The previous prime is 135105709. The next prime is 135105727. The reversal of 135105724 is 427501531.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135105692 and 135105701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135105727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29979 + ... + 34189.

It is an arithmetic number, because the mean of its divisors is an integer number (10628982).

Almost surely, 2^135105724 is an apocalyptic number.

It is an amenable number.

135105724 is a deficient number, since it is larger than the sum of its proper divisors (119989844).

135105724 is a wasteful number, since it uses less digits than its factorization.

135105724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 135105724 is about 11623.4987847894. The cubic root of 135105724 is about 513.1266642430.

The spelling of 135105724 in words is "one hundred thirty-five million, one hundred five thousand, seven hundred twenty-four".