45135792 has 240 divisors, whose sum is σ = 151656960. Its totient is φ = 12877056.

The previous prime is 45135757. The next prime is 45135817. The reversal of 45135792 is 29753154.

45135792 is a `hidden beast` number, since 4 + 513 + 57 + 92 = 666.

45135792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960313 + ... + 960359.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^45135792 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 45135792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

45135792 is an abundant number, since it is smaller than the sum of its proper divisors (106521168).

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

45135792 is a wasteful number, since it uses less digits than its factorization.

45135792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

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

The square root of 45135792 is about 6718.3176465541. The cubic root of 45135792 is about 356.0467472173.

The spelling of 45135792 in words is "forty-five million, one hundred thirty-five thousand, seven hundred ninety-two".