133414035122025 has 192 divisors, whose sum is σ = 289782849139200. Its totient is φ = 58881036533760.

The previous prime is 133414035122021. The next prime is 133414035122041. The reversal of 133414035122025 is 520221530414331.

133414035122025 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 403 + 5 + 1 + 220 + 25 = 666.

It is not a de Polignac number, because 133414035122025 - 2² = 133414035122021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133414035122021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1860352569 + ... + 1860424281.

It is an arithmetic number, because the mean of its divisors is an integer number (1509285672600).

Almost surely, 2^{133414035122025} is an apocalyptic number.

133414035122025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133414035122025 is an abundant number, since it is smaller than the sum of its proper divisors (156368814017175).

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

133414035122025 is a wasteful number, since it uses less digits than its factorization.

133414035122025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85345 (or 85334 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 133414035122025 its reverse (520221530414331), we get a palindrome (653635565536356).

The spelling of 133414035122025 in words is "one hundred thirty-three trillion, four hundred fourteen billion, thirty-five million, one hundred twenty-two thousand, twenty-five".