256151160 has 288 divisors, whose sum is σ = 923635440. Its totient is φ = 63825408.

The previous prime is 256151153. The next prime is 256151177. The reversal of 256151160 is 61151652.

It is a happy number.

256151160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256151160² = 131226833538691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3508884 + ... + 3508956.

Almost surely, 2^256151160 is an apocalyptic number.

256151160 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 256151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461817720).

256151160 is an abundant number, since it is smaller than the sum of its proper divisors (667484280).

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

256151160 is a wasteful number, since it uses less digits than its factorization.

256151160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 256151160 is about 16004.7230528991. The cubic root of 256151160 is about 635.0853709594.

The spelling of 256151160 in words is "two hundred fifty-six million, one hundred fifty-one thousand, one hundred sixty".