145618515200 has 108 divisors (see below), whose sum is σ = 361084506300. Its totient is φ = 58141409280.

The previous prime is 145618515181. The next prime is 145618515209. The reversal of 145618515200 is 2515816541.

It can be written as a sum of positive squares in 6 ways, for example, as 12142276864 + 133476238336 = 110192^2 + 365344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145618515209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3544376 + ... + 3585224.

Almost surely, 2^145618515200 is an apocalyptic number.

145618515200 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 145618515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180542253150).

145618515200 is an abundant number, since it is smaller than the sum of its proper divisors (215465991100).

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

145618515200 is an equidigital number, since it uses as much as digits as its factorization.

145618515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41432 (or 41413 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 145618515200 in words is "one hundred forty-five billion, six hundred eighteen million, five hundred fifteen thousand, two hundred".