254125160 has 64 divisors (see below), whose sum is σ = 599374080. Its totient is φ = 96785920.

The previous prime is 254125121. The next prime is 254125169. The reversal of 254125160 is 61521452.

It is not an unprimeable number, because it can be changed into a prime (254125169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258029 + ... + 259011.

It is an arithmetic number, because the mean of its divisors is an integer number (9365220).

Almost surely, 2^254125160 is an apocalyptic number.

254125160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299687040).

254125160 is an abundant number, since it is smaller than the sum of its proper divisors (345248920).

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

254125160 is a wasteful number, since it uses less digits than its factorization.

254125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 254125160 is about 15941.3035853408. The cubic root of 254125160 is about 633.4065572463.

The spelling of 254125160 in words is "two hundred fifty-four million, one hundred twenty-five thousand, one hundred sixty".