145323796521024 has 945 divisors, whose sum is σ = 490273447820079. Its totient is φ = 42530152896000.

The previous prime is 145323796521019. The next prime is 145323796521047. The reversal of 145323796521024 is 420125697323541.

It is a happy number.

The square root of 145323796521024 is 12055032.

It is a perfect power (a square), and thus also a powerful number.

145323796521024 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 3 + 7 + 96 + 521 + 0 + 24 = 666.

It is a super-2 number, since 2×145323796521024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 295975145419 + ... + 295975145909.

Almost surely, 2^{145323796521024} is an apocalyptic number.

145323796521024 is the 12055032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145323796521024

145323796521024 is an abundant number, since it is smaller than the sum of its proper divisors (344949651299055).

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

145323796521024 is an frugal number, since it uses more digits than its factorization.

145323796521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 145323796521024 in words is "one hundred forty-five trillion, three hundred twenty-three billion, seven hundred ninety-six million, five hundred twenty-one thousand, twenty-four".