1115136000 has 504 divisors, whose sum is σ = 4418888292. Its totient is φ = 270336000.

The previous prime is 1115135977. The next prime is 1115136019. The reversal of 1115136000 is 6315111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1115136000 is a `hidden beast` number, since 1 + 11 + 51 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 753831936 + 361304064 = 27456^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101375995 + ... + 101376005.

Almost surely, 2^1115136000 is an apocalyptic number.

1115136000 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 1115136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209444146).

1115136000 is an abundant number, since it is smaller than the sum of its proper divisors (3303752292).

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

1115136000 is an equidigital number, since it uses as much as digits as its factorization.

1115136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1115136000 is about 33393.6520913781. The cubic root of 1115136000 is about 1036.9932881519.

Multiplying 1115136000 by its product of nonzero digits (90), we get a square (100362240000 = 316800²).

1115136000 divided by its product of nonzero digits (90) gives a square (12390400 = 3520²).

The spelling of 1115136000 in words is "one billion, one hundred fifteen million, one hundred thirty-six thousand".