1145437186560 has 80 divisors (see below), whose sum is σ = 3661819530336. Its totient is φ = 305449914368.

The previous prime is 1145437186549. The next prime is 1145437186571. The reversal of 1145437186560 is 656817345411.

It is an interprime number because it is at equal distance from previous prime (1145437186549) and next prime (1145437186571).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74565054 + ... + 74580413.

Almost surely, 2^{1145437186560} is an apocalyptic number.

1145437186560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145437186560 is an abundant number, since it is smaller than the sum of its proper divisors (2516382343776).

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

1145437186560 is an equidigital number, since it uses as much as digits as its factorization.

1145437186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149145493 (or 149145477 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 1145437186560 in words is "one trillion, one hundred forty-five billion, four hundred thirty-seven million, one hundred eighty-six thousand, five hundred sixty".