135716256 has 192 divisors, whose sum is σ = 437754240. Its totient is φ = 40642560.

The previous prime is 135716179. The next prime is 135716257. The reversal of 135716256 is 652617531.

It is a super-3 number, since 3×135716256³ (a number of 25 digits) contains 333 as substring.

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 135716256.

It is not an unprimeable number, because it can be changed into a prime (135716257) 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, 482836 + ... + 483116.

It is an arithmetic number, because the mean of its divisors is an integer number (2279970).

Almost surely, 2^135716256 is an apocalyptic number.

135716256 is a gapful number since it is divisible by the number (16) 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 135716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218877120).

135716256 is an abundant number, since it is smaller than the sum of its proper divisors (302037984).

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

135716256 is a wasteful number, since it uses less digits than its factorization.

135716256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 135716256 is about 11649.7320140851. The cubic root of 135716256 is about 513.8984290612.

The spelling of 135716256 in words is "one hundred thirty-five million, seven hundred sixteen thousand, two hundred fifty-six".