1191331152 has 300 divisors, whose sum is σ = 3879314208. Its totient is φ = 352598400.

The previous prime is 1191331123. The next prime is 1191331187. The reversal of 1191331152 is 2511331911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11133883 + ... + 11133989.

Almost surely, 2^1191331152 is an apocalyptic number.

1191331152 is a gapful number since it is divisible by the number (12) 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 1191331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939657104).

1191331152 is an abundant number, since it is smaller than the sum of its proper divisors (2687983056).

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

1191331152 is a wasteful number, since it uses less digits than its factorization.

1191331152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 1191331152 is about 34515.6653130140. The cubic root of 1191331152 is about 1060.0934864741.

The spelling of 1191331152 in words is "one billion, one hundred ninety-one million, three hundred thirty-one thousand, one hundred fifty-two".