1145575872 has 336 divisors, whose sum is σ = 4127235840. Its totient is φ = 307556352.

The previous prime is 1145575861. The next prime is 1145575883. The reversal of 1145575872 is 2785755411.

1145575872 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 575 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1145575861) and next prime (1145575883).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 1850379 + ... + 1850997.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^1145575872 is an apocalyptic number.

1145575872 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 1145575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

1145575872 is an abundant number, since it is smaller than the sum of its proper divisors (2981659968).

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

1145575872 is an equidigital number, since it uses as much as digits as its factorization.

1145575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 1145575872 is about 33846.3568497409. The cubic root of 1145575872 is about 1046.3443156969.

The spelling of 1145575872 in words is "one billion, one hundred forty-five million, five hundred seventy-five thousand, eight hundred seventy-two".