45132768 has 48 divisors (see below), whose sum is σ = 131639760. Its totient is φ = 15043968.

The previous prime is 45132767. The next prime is 45132797. The reversal of 45132768 is 86723154.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45132767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25255 + ... + 26982.

It is an arithmetic number, because the mean of its divisors is an integer number (2742495).

Almost surely, 2^45132768 is an apocalyptic number.

45132768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45132768 is an abundant number, since it is smaller than the sum of its proper divisors (86506992).

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

45132768 is a wasteful number, since it uses less digits than its factorization.

45132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52256 (or 52242 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45132768 is about 6718.0925864415. The cubic root of 45132768 is about 356.0387955869.

The spelling of 45132768 in words is "forty-five million, one hundred thirty-two thousand, seven hundred sixty-eight".