1145141760 has 480 divisors, whose sum is σ = 4534263360. Its totient is φ = 244973568.

The previous prime is 1145141759. The next prime is 1145141771. The reversal of 1145141760 is 671415411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1145141760² = 2622699300991795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397351 + ... + 6397529.

It is an arithmetic number, because the mean of its divisors is an integer number (9446382).

Almost surely, 2^1145141760 is an apocalyptic number.

1145141760 is a gapful number since it is divisible by the number (10) 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 1145141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267131680).

1145141760 is an abundant number, since it is smaller than the sum of its proper divisors (3389121600).

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

1145141760 is a wasteful number, since it uses less digits than its factorization.

1145141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1145141760 is about 33839.9432623638. The cubic root of 1145141760 is about 1046.2121294829.

The spelling of 1145141760 in words is "one billion, one hundred forty-five million, one hundred forty-one thousand, seven hundred sixty".