133352493187225 has 81 divisors (see below), whose sum is σ = 180948559845879. Its totient is φ = 97445250864000.

The previous prime is 133352493187181. The next prime is 133352493187231. The reversal of 133352493187225 is 522781394253331.

It is a happy number.

The square root of 133352493187225 is 11547835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 59547968193289 + 73804524993936 = 7716733^2 + 8590956^2 .

It is a de Polignac number, because none of the positive numbers 2^k-133352493187225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133352493187225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75811535896 + ... + 75811537654.

Almost surely, 2^{133352493187225} is an apocalyptic number.

133352493187225 is the 11547835-th square number.

133352493187225 is the 5773918-th centered octagonal number.

It is an amenable number.

133352493187225 is a deficient number, since it is larger than the sum of its proper divisors (47596066658654).

133352493187225 is an frugal number, since it uses more digits than its factorization.

133352493187225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 1878 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 58.

The spelling of 133352493187225 in words is "one hundred thirty-three trillion, three hundred fifty-two billion, four hundred ninety-three million, one hundred eighty-seven thousand, two hundred twenty-five".