145809331200 has 924 divisors, whose sum is σ = 584553446428. Its totient is φ = 35831808000.

The previous prime is 145809331153. The next prime is 145809331201. The reversal of 145809331200 is 2133908541.

145809331200 is a `hidden beast` number, since 1 + 45 + 80 + 9 + 331 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3251736576 + 142557594624 = 57024^2 + 377568^2 .

It is a super-2 number, since 2×145809331200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145809331201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242610900 + ... + 242611500.

Almost surely, 2^145809331200 is an apocalyptic number.

145809331200 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 145809331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292276723214).

145809331200 is an abundant number, since it is smaller than the sum of its proper divisors (438744115228).

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

145809331200 is an equidigital number, since it uses as much as digits as its factorization.

145809331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 145809331200 in words is "one hundred forty-five billion, eight hundred nine million, three hundred thirty-one thousand, two hundred".