145530605533200 has 240 divisors, whose sum is σ = 468047565824256. Its totient is φ = 38652978790400.

The previous prime is 145530605533139. The next prime is 145530605533207. The reversal of 145530605533200 is 2335506035541.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (145530605533207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3744881770 + ... + 3744920630.

Almost surely, 2^{145530605533200} is an apocalyptic number.

145530605533200 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 145530605533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234023782912128).

145530605533200 is an abundant number, since it is smaller than the sum of its proper divisors (322516960291056).

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

145530605533200 is a wasteful number, since it uses less digits than its factorization.

145530605533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51282 (or 51271 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 145530605533200 in words is "one hundred forty-five trillion, five hundred thirty billion, six hundred five million, five hundred thirty-three thousand, two hundred".