1165138632 has 96 divisors (see below), whose sum is σ = 3624816000. Its totient is φ = 331195392.

The previous prime is 1165138607. The next prime is 1165138657. The reversal of 1165138632 is 2368315611.

1165138632 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 13 + 8 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1165138607) and next prime (1165138657).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94488 + ... + 106104.

It is an arithmetic number, because the mean of its divisors is an integer number (37758500).

Almost surely, 2^1165138632 is an apocalyptic number.

1165138632 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 1165138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812408000).

1165138632 is an abundant number, since it is smaller than the sum of its proper divisors (2459677368).

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

1165138632 is a wasteful number, since it uses less digits than its factorization.

1165138632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11828 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1165138632 is about 34134.1270871250. The cubic root of 1165138632 is about 1052.2667980277.

The spelling of 1165138632 in words is "one billion, one hundred sixty-five million, one hundred thirty-eight thousand, six hundred thirty-two".