145172800 has 84 divisors (see below), whose sum is σ = 366093756. Its totient is φ = 56627200.

The previous prime is 145172789. The next prime is 145172813. The reversal of 145172800 is 8271541.

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 144384256 = 888^2 + 12016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64494 + ... + 66706.

It is an arithmetic number, because the mean of its divisors is an integer number (4358259).

Almost surely, 2^145172800 is an apocalyptic number.

145172800 is a gapful number since it is divisible by the number (10) 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 145172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183046878).

145172800 is an abundant number, since it is smaller than the sum of its proper divisors (220920956).

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

145172800 is a wasteful number, since it uses less digits than its factorization.

145172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 145172800 is about 12048.7675718307. The cubic root of 145172800 is about 525.5673986514.

The spelling of 145172800 in words is "one hundred forty-five million, one hundred seventy-two thousand, eight hundred".