145159200 has 108 divisors (see below), whose sum is σ = 511893018. Its totient is φ = 38707200.

The previous prime is 145159159. The next prime is 145159211. The reversal of 145159200 is 2951541.

145159200 is a `hidden beast` number, since 1 + 451 + 5 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 116899344 + 28259856 = 10812^2 + 5316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2881 + ... + 17280.

Almost surely, 2^145159200 is an apocalyptic number.

145159200 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 145159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255946509).

145159200 is an abundant number, since it is smaller than the sum of its proper divisors (366733818).

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

145159200 is a wasteful number, since it uses less digits than its factorization.

145159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 145159200 is about 12048.2031855377. The cubic root of 145159200 is about 525.5509861650.

The spelling of 145159200 in words is "one hundred forty-five million, one hundred fifty-nine thousand, two hundred".