145730433024 has 468 divisors, whose sum is σ = 475737932488. Its totient is φ = 42918543360.

The previous prime is 145730432999. The next prime is 145730433053. The reversal of 145730433024 is 420334037541.

145730433024 is a `hidden beast` number, since 1 + 45 + 7 + 304 + 3 + 302 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145730433024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165039687 + ... + 165040569.

Almost surely, 2^145730433024 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 145730433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237868966244).

145730433024 is an abundant number, since it is smaller than the sum of its proper divisors (330007499464).

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

145730433024 is a wasteful number, since it uses less digits than its factorization.

145730433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 145730433024 in words is "one hundred forty-five billion, seven hundred thirty million, four hundred thirty-three thousand, twenty-four".