1132158720 has 432 divisors, whose sum is σ = 4596939648. Its totient is φ = 234823680.

The previous prime is 1132158661. The next prime is 1132158733. The reversal of 1132158720 is 278512311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069487 + ... + 2070033.

It is an arithmetic number, because the mean of its divisors is an integer number (10641064).

Almost surely, 2^1132158720 is an apocalyptic number.

1132158720 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 1132158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298469824).

1132158720 is an abundant number, since it is smaller than the sum of its proper divisors (3464780928).

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

1132158720 is a wasteful number, since it uses less digits than its factorization.

1132158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1132158720 is about 33647.5663310142. The cubic root of 1132158720 is about 1042.2432839815.

The spelling of 1132158720 in words is "one billion, one hundred thirty-two million, one hundred fifty-eight thousand, seven hundred twenty".