145427822500 has 135 divisors (see below), whose sum is σ = 330623073781. Its totient is φ = 55951672000.

The previous prime is 145427822497. The next prime is 145427822513. The reversal of 145427822500 is 5228724541.

It is a happy number.

The square root of 145427822500 is 381350.

It is a perfect power (a square), and thus also a powerful number.

145427822500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 108769359204 + 36658463296 = 329802^2 + 191464^2 .

It is a super-2 number, since 2×145427822500² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 552957369 + ... + 552957631.

Almost surely, 2^145427822500 is an apocalyptic number.

145427822500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145427822500 is the 381350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145427822500

145427822500 is an abundant number, since it is smaller than the sum of its proper divisors (185195251281).

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

145427822500 is an frugal number, since it uses more digits than its factorization.

145427822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 145427822500 in words is "one hundred forty-five billion, four hundred twenty-seven million, eight hundred twenty-two thousand, five hundred".