133111874025 has 81 divisors (see below), whose sum is σ = 258306831237. Its totient is φ = 65496974400.

The previous prime is 133111874023. The next prime is 133111874069. The reversal of 133111874025 is 520478111331.

The square root of 133111874025 is 364845.

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

133111874025 is a `hidden beast` number, since 133 + 1 + 118 + 7 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34309782441 + 98802091584 = 185229^2 + 314328^2 .

It is not a de Polignac number, because 133111874025 - 2¹ = 133111874023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133111874023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71143840 + ... + 71145710.

Almost surely, 2^133111874025 is an apocalyptic number.

133111874025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133111874025 is the 364845-th square number.

133111874025 is the 182423-rd centered octagonal number.

It is an amenable number.

133111874025 is a deficient number, since it is larger than the sum of its proper divisors (125194957212).

133111874025 is an equidigital number, since it uses as much as digits as its factorization.

133111874025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 133111874025 by its sum of digits (36), we get a square (4792027464900 = 2189070²).

Adding to 133111874025 its reverse (520478111331), we get a palindrome (653589985356).

The spelling of 133111874025 in words is "one hundred thirty-three billion, one hundred eleven million, eight hundred seventy-four thousand, twenty-five".