145441800 has 432 divisors, whose sum is σ = 607812660. Its totient is φ = 30965760.

The previous prime is 145441787. The next prime is 145441831. The reversal of 145441800 is 8144541.

It is a happy number.

145441800 is a `hidden beast` number, since 145 + 441 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 69856164 + 75585636 = 8358^2 + 8694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1499352 + ... + 1499448.

Almost surely, 2^145441800 is an apocalyptic number.

145441800 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 145441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303906330).

145441800 is an abundant number, since it is smaller than the sum of its proper divisors (462370860).

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

145441800 is a wasteful number, since it uses less digits than its factorization.

145441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145441800 is about 12059.9253729034. The cubic root of 145441800 is about 525.8918175450.

The spelling of 145441800 in words is "one hundred forty-five million, four hundred forty-one thousand, eight hundred".