1185132564 has 108 divisors (see below), whose sum is σ = 3763355232. Its totient is φ = 307818720.

The previous prime is 1185132541. The next prime is 1185132601. The reversal of 1185132564 is 4652315811.

1185132564 is a `hidden beast` number, since 1 + 1 + 85 + 13 + 2 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 11059 + ... + 49925.

Almost surely, 2^1185132564 is an apocalyptic number.

1185132564 is a gapful number since it is divisible by the number (14) 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 1185132564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881677616).

1185132564 is an abundant number, since it is smaller than the sum of its proper divisors (2578222668).

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

1185132564 is a wasteful number, since it uses less digits than its factorization.

1185132564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38906 (or 38890 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1185132564 is about 34425.7543708195. The cubic root of 1185132564 is about 1058.2517056986.

The spelling of 1185132564 in words is "one billion, one hundred eighty-five million, one hundred thirty-two thousand, five hundred sixty-four".