145257421824 has 264 divisors, whose sum is σ = 438239740848. Its totient is φ = 48054435840.

The previous prime is 145257421789. The next prime is 145257421853. The reversal of 145257421824 is 428124752541.

145257421824 is a `hidden beast` number, since 1 + 4 + 52 + 574 + 2 + 1 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145257421824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34087854 + ... + 34092114.

Almost surely, 2^145257421824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145257421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219119870424).

145257421824 is an abundant number, since it is smaller than the sum of its proper divisors (292982319024).

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

145257421824 is an equidigital number, since it uses as much as digits as its factorization.

145257421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4403 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The spelling of 145257421824 in words is "one hundred forty-five billion, two hundred fifty-seven million, four hundred twenty-one thousand, eight hundred twenty-four".