135646056 has 256 divisors, whose sum is σ = 475238400. Its totient is φ = 34898688.

The previous prime is 135646051. The next prime is 135646067. The reversal of 135646056 is 650646531.

135646056 is a `hidden beast` number, since 1 + 3 + 5 + 646 + 0 + 5 + 6 = 666.

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 135646056.

It is not an unprimeable number, because it can be changed into a prime (135646051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316901 + ... + 1317003.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^135646056 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 135646056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237619200).

135646056 is an abundant number, since it is smaller than the sum of its proper divisors (339592344).

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

135646056 is a wasteful number, since it uses less digits than its factorization.

135646056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 135646056 is about 11646.7186795251. The cubic root of 135646056 is about 513.8098081578.

The spelling of 135646056 in words is "one hundred thirty-five million, six hundred forty-six thousand, fifty-six".