135513756 has 96 divisors (see below), whose sum is σ = 406784000. Its totient is φ = 38211264.

The previous prime is 135513751. The next prime is 135513761. The reversal of 135513756 is 657315531.

135513756 is a `hidden beast` number, since 135 + 513 + 7 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135513751) and next prime (135513761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135513756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135513751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58590 + ... + 60858.

Almost surely, 2^135513756 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 135513756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203392000).

135513756 is an abundant number, since it is smaller than the sum of its proper divisors (271270244).

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

135513756 is a wasteful number, since it uses less digits than its factorization.

135513756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2360 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 135513756 is about 11641.0375826212. The cubic root of 135513756 is about 513.6427086940.

The spelling of 135513756 in words is "one hundred thirty-five million, five hundred thirteen thousand, seven hundred fifty-six".