1141764120 has 128 divisors (see below), whose sum is σ = 4349606400. Its totient is φ = 260972928.

The previous prime is 1141764089. The next prime is 1141764121. The reversal of 1141764120 is 214671411.

1141764120 is a `hidden beast` number, since 1 + 1 + 4 + 17 + 641 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141764121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67954 + ... + 83073.

It is an arithmetic number, because the mean of its divisors is an integer number (33981300).

Almost surely, 2^1141764120 is an apocalyptic number.

1141764120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141764120 is an abundant number, since it is smaller than the sum of its proper divisors (3207842280).

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

1141764120 is a wasteful number, since it uses less digits than its factorization.

1141764120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151054 (or 151044 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1141764120 is about 33790.0002959455. Note that the first 3 decimals coincide. The cubic root of 1141764120 is about 1045.1825021028.

The spelling of 1141764120 in words is "one billion, one hundred forty-one million, seven hundred sixty-four thousand, one hundred twenty".