145073242828800 has 4212 divisors, whose sum is σ = 654274529390664. Its totient is φ = 30450017894400.

The previous prime is 145073242828781. The next prime is 145073242828853. The reversal of 145073242828800 is 8828242370541.

It is a happy number.

145073242828800 is a `hidden beast` number, since 1 + 4 + 50 + 73 + 2 + 428 + 28 + 80 + 0 = 666.

It is a super-2 number, since 2×145073242828800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 495130521454 + ... + 495130521746.

Almost surely, 2^{145073242828800} is an apocalyptic number.

145073242828800 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 145073242828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327137264695332).

145073242828800 is an abundant number, since it is smaller than the sum of its proper divisors (509201286561864).

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

145073242828800 is a wasteful number, since it uses less digits than its factorization.

145073242828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 145073242828800 in words is "one hundred forty-five trillion, seventy-three billion, two hundred forty-two million, eight hundred twenty-eight thousand, eight hundred".