1146813120 has 448 divisors, whose sum is σ = 4389120000. Its totient is φ = 281014272.

The previous prime is 1146813103. The next prime is 1146813127. The reversal of 1146813120 is 213186411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1146813127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5762781 + ... + 5762979.

Almost surely, 2^1146813120 is an apocalyptic number.

1146813120 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 1146813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560000).

1146813120 is an abundant number, since it is smaller than the sum of its proper divisors (3242306880).

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

1146813120 is a wasteful number, since it uses less digits than its factorization.

1146813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1146813120 is about 33864.6293350451. The cubic root of 1146813120 is about 1046.7208720536.

Adding to 1146813120 its reverse (213186411), we get a palindrome (1359999531).

The spelling of 1146813120 in words is "one billion, one hundred forty-six million, eight hundred thirteen thousand, one hundred twenty".