45153792 has 120 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 14622720.

The previous prime is 45153781. The next prime is 45153809. The reversal of 45153792 is 29735154.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188809 + ... + 189047.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^45153792 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 45153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

45153792 is an abundant number, since it is smaller than the sum of its proper divisors (88900128).

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

45153792 is a wasteful number, since it uses less digits than its factorization.

45153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

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

The square root of 45153792 is about 6719.6571341103. The cubic root of 45153792 is about 356.0940710034.

The spelling of 45153792 in words is "forty-five million, one hundred fifty-three thousand, seven hundred ninety-two".