254132125200 has 90 divisors (see below), whose sum is σ = 881909079194. Its totient is φ = 67768565760.

The previous prime is 254132125153. The next prime is 254132125207. The reversal of 254132125200 is 2521231452.

254132125200 is a `hidden beast` number, since 2 + 5 + 4 + 132 + 1 + 2 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56430952704 + 197701172496 = 237552^2 + 444636^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (254132125207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35292529 + ... + 35299728.

Almost surely, 2^254132125200 is an apocalyptic number.

254132125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254132125200 is an abundant number, since it is smaller than the sum of its proper divisors (627776953994).

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

254132125200 is a wasteful number, since it uses less digits than its factorization.

254132125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70592281 (or 70592267 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 254132125200 its reverse (2521231452), we get a palindrome (256653356652).

The spelling of 254132125200 in words is "two hundred fifty-four billion, one hundred thirty-two million, one hundred twenty-five thousand, two hundred".