254157120 has 252 divisors, whose sum is σ = 1017484884. Its totient is φ = 58060800.

The previous prime is 254157119. The next prime is 254157121. The reversal of 254157120 is 21751452.

It is an interprime number because it is at equal distance from previous prime (254157119) and next prime (254157121).

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 194435136 = 7728^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254157121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140220 + ... + 142020.

Almost surely, 2^254157120 is an apocalyptic number.

254157120 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 254157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508742442).

254157120 is an abundant number, since it is smaller than the sum of its proper divisors (763327764).

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

254157120 is a wasteful number, since it uses less digits than its factorization.

254157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 254157120 is about 15942.3059812563. The cubic root of 254157120 is about 633.4331095496.

The spelling of 254157120 in words is "two hundred fifty-four million, one hundred fifty-seven thousand, one hundred twenty".