256007136 has 192 divisors, whose sum is σ = 853493760. Its totient is φ = 65256960.

The previous prime is 256007117. The next prime is 256007137. The reversal of 256007136 is 631700652.

256007136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256007137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435835 + ... + 436421.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^256007136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

256007136 is an abundant number, since it is smaller than the sum of its proper divisors (597486624).

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

256007136 is a wasteful number, since it uses less digits than its factorization.

256007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 256007136 is about 16000.2229984460. Note that the first 3 decimals coincide. The cubic root of 256007136 is about 634.9663205730.

Adding to 256007136 its reverse (631700652), we get a palindrome (887707788).

The spelling of 256007136 in words is "two hundred fifty-six million, seven thousand, one hundred thirty-six".