1151638160 has 40 divisors (see below), whose sum is σ = 2679396216. Its totient is φ = 460339200.

The previous prime is 1151638151. The next prime is 1151638181. The reversal of 1151638160 is 618361511.

It can be written as a sum of positive squares in 4 ways, for example, as 485585296 + 666052864 = 22036^2 + 25808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138110 + ... + 146210.

Almost surely, 2^1151638160 is an apocalyptic number.

1151638160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151638160 is an abundant number, since it is smaller than the sum of its proper divisors (1527758056).

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

1151638160 is a wasteful number, since it uses less digits than its factorization.

1151638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 1151638160 is about 33935.7946717032. The cubic root of 1151638160 is about 1048.1867905113.

Adding to 1151638160 its reverse (618361511), we get a palindrome (1769999671).

The spelling of 1151638160 in words is "one billion, one hundred fifty-one million, six hundred thirty-eight thousand, one hundred sixty".