45178180 has 48 divisors (see below), whose sum is σ = 101651760. Its totient is φ = 16805888.

The previous prime is 45178157. The next prime is 45178193. The reversal of 45178180 is 8187154.

It can be written as a sum of positive squares in 8 ways, for example, as 662596 + 44515584 = 814^2 + 6672^2 .

It is a super-2 number, since 2×45178180² = 4082135896224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 29514 + ... + 31006.

It is an arithmetic number, because the mean of its divisors is an integer number (2117745).

Almost surely, 2^45178180 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 45178180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50825880).

45178180 is an abundant number, since it is smaller than the sum of its proper divisors (56473580).

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

45178180 is a wasteful number, since it uses less digits than its factorization.

45178180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 45178180 is about 6721.4715650667. The cubic root of 45178180 is about 356.1581694159.

The spelling of 45178180 in words is "forty-five million, one hundred seventy-eight thousand, one hundred eighty".