1145136864 has 96 divisors (see below), whose sum is σ = 3191148576. Its totient is φ = 358318080.

The previous prime is 1145136851. The next prime is 1145136877. The reversal of 1145136864 is 4686315411.

It is an interprime number because it is at equal distance from previous prime (1145136851) and next prime (1145136877).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1145136864² = 2622676874583508992, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 882264 + ... + 883560.

It is an arithmetic number, because the mean of its divisors is an integer number (33241131).

Almost surely, 2^1145136864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595574288).

1145136864 is an abundant number, since it is smaller than the sum of its proper divisors (2046011712).

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

1145136864 is a wasteful number, since it uses less digits than its factorization.

1145136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1860 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 1145136864 is about 33839.8709217396. The cubic root of 1145136864 is about 1046.2106384704.

The spelling of 1145136864 in words is "one billion, one hundred forty-five million, one hundred thirty-six thousand, eight hundred sixty-four".