1145754288 has 160 divisors (see below), whose sum is σ = 3794757120. Its totient is φ = 324207360.

The previous prime is 1145754271. The next prime is 1145754293. The reversal of 1145754288 is 8824575411.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321798 + ... + 325338.

It is an arithmetic number, because the mean of its divisors is an integer number (23717232).

Almost surely, 2^1145754288 is an apocalyptic number.

1145754288 is a gapful number since it is divisible by the number (18) 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 1145754288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897378560).

1145754288 is an abundant number, since it is smaller than the sum of its proper divisors (2649002832).

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

1145754288 is a wasteful number, since it uses less digits than its factorization.

1145754288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3660 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 1145754288 is about 33848.9924222273. The cubic root of 1145754288 is about 1046.3986333203.

The spelling of 1145754288 in words is "one billion, one hundred forty-five million, seven hundred fifty-four thousand, two hundred eighty-eight".