1136256000 has 352 divisors, whose sum is σ = 4138542720. Its totient is φ = 274432000.

The previous prime is 1136255999. The next prime is 1136256053. The reversal of 1136256000 is 6526311.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 4223866 + ... + 4224134.

Almost surely, 2^1136256000 is an apocalyptic number.

1136256000 is a gapful number since it is divisible by the number (10) 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 1136256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069271360).

1136256000 is an abundant number, since it is smaller than the sum of its proper divisors (3002286720).

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

1136256000 is a wasteful number, since it uses less digits than its factorization.

1136256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1136256000 is about 33708.3965800808. The cubic root of 1136256000 is about 1043.4990623873.

The spelling of 1136256000 in words is "one billion, one hundred thirty-six million, two hundred fifty-six thousand".