145320727732992 has 3024 divisors, whose sum is σ = 556724287848960. Its totient is φ = 37592547213312.

The previous prime is 145320727732979. The next prime is 145320727733017. The reversal of 145320727732992 is 299237727023541.

145320727732992 is a `hidden beast` number, since 1 + 4 + 5 + 32 + 0 + 7 + 277 + 329 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-3 number, since 3×145320727732992³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 395969285193 + ... + 395969285559.

It is an arithmetic number, because the mean of its divisors is an integer number (184101947040).

Almost surely, 2^{145320727732992} is an apocalyptic number.

145320727732992 is a gapful number since it is divisible by the number (12) 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 145320727732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278362143924480).

145320727732992 is an abundant number, since it is smaller than the sum of its proper divisors (411403560115968).

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

145320727732992 is an equidigital number, since it uses as much as digits as its factorization.

145320727732992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 145320727732992 in words is "one hundred forty-five trillion, three hundred twenty billion, seven hundred twenty-seven million, seven hundred thirty-two thousand, nine hundred ninety-two".