145233829440 has 1568 divisors, whose sum is σ = 648169635840. Its totient is φ = 30233088000.

The previous prime is 145233829369. The next prime is 145233829451. The reversal of 145233829440 is 44928332541.

145233829440 is a `hidden beast` number, since 1 + 4 + 523 + 3 + 82 + 9 + 4 + 40 = 666.

145233829440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 961813365 + ... + 961813515.

Almost surely, 2^145233829440 is an apocalyptic number.

145233829440 is a gapful number since it is divisible by the number (10) 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 145233829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324084817920).

145233829440 is an abundant number, since it is smaller than the sum of its proper divisors (502935806400).

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

145233829440 is a wasteful number, since it uses less digits than its factorization.

145233829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 145233829440 in words is "one hundred forty-five billion, two hundred thirty-three million, eight hundred twenty-nine thousand, four hundred forty".