1132075776 has 144 divisors (see below), whose sum is σ = 3270808800. Its totient is φ = 345538560.

The previous prime is 1132075753. The next prime is 1132075783. The reversal of 1132075776 is 6775702311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487236 + ... + 1487996.

It is an arithmetic number, because the mean of its divisors is an integer number (22713950).

Almost surely, 2^1132075776 is an apocalyptic number.

1132075776 is a gapful number since it is divisible by the number (16) 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 1132075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635404400).

1132075776 is an abundant number, since it is smaller than the sum of its proper divisors (2138733024).

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

1132075776 is a wasteful number, since it uses less digits than its factorization.

1132075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 1132075776 is about 33646.3337675890. Note that the first 3 decimals coincide. The cubic root of 1132075776 is about 1042.2178311492.

The spelling of 1132075776 in words is "one billion, one hundred thirty-two million, seventy-five thousand, seven hundred seventy-six".