256125100 has 288 divisors, whose sum is σ = 759951360. Its totient is φ = 72576000.

The previous prime is 256125059. The next prime is 256125101. The reversal of 256125100 is 1521652.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256125101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6922282 + ... + 6922318.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^256125100 is an apocalyptic number.

256125100 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 256125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

256125100 is an abundant number, since it is smaller than the sum of its proper divisors (503826260).

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

256125100 is a wasteful number, since it uses less digits than its factorization.

256125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 256125100 is about 16003.9088975163. The cubic root of 256125100 is about 635.0638330440.

Adding to 256125100 its reverse (1521652), we get a palindrome (257646752).

The spelling of 256125100 in words is "two hundred fifty-six million, one hundred twenty-five thousand, one hundred".