1134190080 has 320 divisors, whose sum is σ = 4110004800. Its totient is φ = 296386560.

The previous prime is 1134190069. The next prime is 1134190147. The reversal of 1134190080 is 800914311.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 4216186 + ... + 4216454.

It is an arithmetic number, because the mean of its divisors is an integer number (12843765).

Almost surely, 2^1134190080 is an apocalyptic number.

1134190080 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 1134190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055002400).

1134190080 is an abundant number, since it is smaller than the sum of its proper divisors (2975814720).

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

1134190080 is an equidigital number, since it uses as much as digits as its factorization.

1134190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1134190080 is about 33677.7386414231. The cubic root of 1134190080 is about 1042.8662550384.

The spelling of 1134190080 in words is "one billion, one hundred thirty-four million, one hundred ninety thousand, eighty".