45755136 has 108 divisors (see below), whose sum is σ = 150822672. Its totient is φ = 13068288.

The previous prime is 45755131. The next prime is 45755147. The reversal of 45755136 is 63155754.

45755136 is a `hidden beast` number, since 4 + 575 + 51 + 36 = 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 45755136.

It is not an unprimeable number, because it can be changed into a prime (45755131) 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, 14710 + ... + 17546.

Almost surely, 2^45755136 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 45755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411336).

45755136 is an abundant number, since it is smaller than the sum of its proper divisors (105067536).

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

45755136 is a wasteful number, since it uses less digits than its factorization.

45755136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2849 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 45755136 is about 6764.2542826242. The cubic root of 45755136 is about 357.6678879564.

The spelling of 45755136 in words is "forty-five million, seven hundred fifty-five thousand, one hundred thirty-six".