1145038320 has 360 divisors, whose sum is σ = 4178458752. Its totient is φ = 280627200.

The previous prime is 1145038309. The next prime is 1145038327. The reversal of 1145038320 is 238305411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1145038320² = 2622225508536844800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145038327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18771090 + ... + 18771150.

Almost surely, 2^1145038320 is an apocalyptic number.

1145038320 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 1145038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089229376).

1145038320 is an abundant number, since it is smaller than the sum of its proper divisors (3033420432).

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

1145038320 is a wasteful number, since it uses less digits than its factorization.

1145038320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1145038320 is about 33838.4148564911. The cubic root of 1145038320 is about 1046.1806272866.

It can be divided in two parts, 11450 and 38320, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1145038320 in words is "one billion, one hundred forty-five million, thirty-eight thousand, three hundred twenty".