257145000 has 320 divisors, whose sum is σ = 959692800. Its totient is φ = 56160000.

The previous prime is 257144981. The next prime is 257145041. The reversal of 257145000 is 541752.

It is a super-2 number, since 2×257145000² = 132247102050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3254961 + ... + 3255039.

It is an arithmetic number, because the mean of its divisors is an integer number (2999040).

Almost surely, 2^257145000 is an apocalyptic number.

257145000 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 257145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479846400).

257145000 is an abundant number, since it is smaller than the sum of its proper divisors (702547800).

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

257145000 is a wasteful number, since it uses less digits than its factorization.

257145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 257145000 is about 16035.7413299167. The cubic root of 257145000 is about 635.9056661638.

Adding to 257145000 its reverse (541752), we get a palindrome (257686752).

The spelling of 257145000 in words is "two hundred fifty-seven million, one hundred forty-five thousand".