135857744 has 60 divisors (see below), whose sum is σ = 305153088. Its totient is φ = 58099200.

The previous prime is 135857737. The next prime is 135857749. The reversal of 135857744 is 447758531.

135857744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 135857695 and 135857704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135857749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49529 + ... + 52199.

Almost surely, 2^135857744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135857744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152576544).

135857744 is an abundant number, since it is smaller than the sum of its proper divisors (169295344).

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

135857744 is a wasteful number, since it uses less digits than its factorization.

135857744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2701 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 135857744 is about 11655.8030182395. The cubic root of 135857744 is about 514.0769515417.

The spelling of 135857744 in words is "one hundred thirty-five million, eight hundred fifty-seven thousand, seven hundred forty-four".