45382140 has 96 divisors (see below), whose sum is σ = 145797120. Its totient is φ = 11707200.

The previous prime is 45382123. The next prime is 45382177. The reversal of 45382140 is 4128354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15385 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (1518720).

Almost surely, 2^45382140 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 45382140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72898560).

45382140 is an abundant number, since it is smaller than the sum of its proper divisors (100414980).

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

45382140 is a wasteful number, since it uses less digits than its factorization.

45382140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45382140 is about 6736.6267523145. The cubic root of 45382140 is about 356.6933317279.

The spelling of 45382140 in words is "forty-five million, three hundred eighty-two thousand, one hundred forty".