256146000 has 160 divisors (see below), whose sum is σ = 901120896. Its totient is φ = 62080000.

The previous prime is 256145993. The next prime is 256146001. The reversal of 256146000 is 641652.

It is a super-2 number, since 2×256146000² = 131221546632000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256146001) 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 31 ways as a sum of consecutive naturals, for example, 64060 + ... + 67940.

Almost surely, 2^256146000 is an apocalyptic number.

256146000 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 256146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450560448).

256146000 is an abundant number, since it is smaller than the sum of its proper divisors (644974896).

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

256146000 is a wasteful number, since it uses less digits than its factorization.

256146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256146000 is about 16004.5618496727. The cubic root of 256146000 is about 635.0811064690.

Adding to 256146000 its reverse (641652), we get a palindrome (256787652).

The spelling of 256146000 in words is "two hundred fifty-six million, one hundred forty-six thousand".