145814523792 has 240 divisors, whose sum is σ = 464075154432. Its totient is φ = 39254181120.

The previous prime is 145814523773. The next prime is 145814523817. The reversal of 145814523792 is 297325418541.

145814523792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3604317 + ... + 3644547.

Almost surely, 2^145814523792 is an apocalyptic number.

145814523792 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 145814523792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232037577216).

145814523792 is an abundant number, since it is smaller than the sum of its proper divisors (318260630640).

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

145814523792 is a wasteful number, since it uses less digits than its factorization.

145814523792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40346 (or 40333 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 145814523792 in words is "one hundred forty-five billion, eight hundred fourteen million, five hundred twenty-three thousand, seven hundred ninety-two".