145329565500 has 1152 divisors, whose sum is σ = 595948953600. Its totient is φ = 30373056000.

The previous prime is 145329565453. The next prime is 145329565501. The reversal of 145329565500 is 5565923541.

145329565500 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 95 + 6 + 550 + 0 = 666.

145329565500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145329565500² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145329565501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 389623314 + ... + 389623686.

It is an arithmetic number, because the mean of its divisors is an integer number (517316800).

Almost surely, 2^145329565500 is an apocalyptic number.

145329565500 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 145329565500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297974476800).

145329565500 is an abundant number, since it is smaller than the sum of its proper divisors (450619388100).

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

145329565500 is a wasteful number, since it uses less digits than its factorization.

145329565500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 145329565500 in words is "one hundred forty-five billion, three hundred twenty-nine million, five hundred sixty-five thousand, five hundred".