1165133760 has 672 divisors, whose sum is σ = 4803452928. Its totient is φ = 237404160.

The previous prime is 1165133707. The next prime is 1165133773. The reversal of 1165133760 is 673315611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24790057 + ... + 24790103.

Almost surely, 2^1165133760 is an apocalyptic number.

1165133760 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 1165133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401726464).

1165133760 is an abundant number, since it is smaller than the sum of its proper divisors (3638319168).

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

1165133760 is a wasteful number, since it uses less digits than its factorization.

1165133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1165133760 is about 34134.0557215225. The cubic root of 1165133760 is about 1052.2653313493.

The spelling of 1165133760 in words is "one billion, one hundred sixty-five million, one hundred thirty-three thousand, seven hundred sixty".