142593088225 has 27 divisors (see below), whose sum is σ = 205702320537. Its totient is φ = 97769054880.

The previous prime is 142593088217. The next prime is 142593088237. The reversal of 142593088225 is 522880395241.

The square root of 142593088225 is 377615.

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

142593088225 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 4 ways, for example, as 5035179681 + 137557908544 = 70959^2 + 370888^2 .

It is not a de Polignac number, because 142593088225 - 2³ = 142593088217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 13211131 + ... + 13221919.

Almost surely, 2^142593088225 is an apocalyptic number.

142593088225 is the 377615-th square number.

142593088225 is the 188808-th centered octagonal number.

It is an amenable number.

142593088225 is a deficient number, since it is larger than the sum of its proper divisors (63109232312).

142593088225 is an frugal number, since it uses more digits than its factorization.

142593088225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21602 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 142593088225 by its sum of digits (49), we get a square (6987061323025 = 2643305²).

142593088225 divided by its sum of digits (49) gives a square (2910063025 = 53945²).

The spelling of 142593088225 in words is "one hundred forty-two billion, five hundred ninety-three million, eighty-eight thousand, two hundred twenty-five".