145707133824 has 480 divisors, whose sum is σ = 534120784560. Its totient is φ = 39179427840.

The previous prime is 145707133753. The next prime is 145707133829. The reversal of 145707133824 is 428331707541.

145707133824 is a `hidden beast` number, since 1 + 4 + 570 + 71 + 3 + 3 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145707133824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145707133829) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 8628109 + ... + 8644979.

Almost surely, 2^145707133824 is an apocalyptic number.

145707133824 is a gapful number since it is divisible by the number (14) 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 145707133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267060392280).

145707133824 is an abundant number, since it is smaller than the sum of its proper divisors (388413650736).

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

145707133824 is a wasteful number, since it uses less digits than its factorization.

145707133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16900 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 145707133824 in words is "one hundred forty-five billion, seven hundred seven million, one hundred thirty-three thousand, eight hundred twenty-four".