135356544 has 48 divisors (see below), whose sum is σ = 389505870. Its totient is φ = 45118464.

The previous prime is 135356521. The next prime is 135356563. The reversal of 135356544 is 445653531.

135356544 is a `hidden beast` number, since 1 + 3 + 53 + 565 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 10810944 = 11160^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 135356499 and 135356508.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57597 + ... + 59900.

Almost surely, 2^135356544 is an apocalyptic number.

It is an amenable number.

135356544 is an abundant number, since it is smaller than the sum of its proper divisors (254149326).

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

135356544 is a wasteful number, since it uses less digits than its factorization.

135356544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117517 (or 117502 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 135356544 is about 11634.2831321917. The cubic root of 135356544 is about 513.4440030500. Note that the first 3 decimals are identical.

The spelling of 135356544 in words is "one hundred thirty-five million, three hundred fifty-six thousand, five hundred forty-four".