45132000 has 96 divisors (see below), whose sum is σ = 147891744. Its totient is φ = 12032000.

The previous prime is 45131993. The next prime is 45132041. The reversal of 45132000 is 23154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10120 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 2^45132000 is an apocalyptic number.

45132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872).

45132000 is an abundant number, since it is smaller than the sum of its proper divisors (102759744).

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

45132000 is a wasteful number, since it uses less digits than its factorization.

45132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 45132000 is about 6718.0354271171. The cubic root of 45132000 is about 356.0367760686.

Adding to 45132000 its reverse (23154), we get a palindrome (45155154).

The spelling of 45132000 in words is "forty-five million, one hundred thirty-two thousand".