1134349920 has 480 divisors, whose sum is σ = 4467687840. Its totient is φ = 268738560.

The previous prime is 1134349883. The next prime is 1134349921. The reversal of 1134349920 is 299434311.

1134349920 is a `hidden beast` number, since 113 + 434 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134349921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10406826 + ... + 10406934.

It is an arithmetic number, because the mean of its divisors is an integer number (9307683).

Almost surely, 2^1134349920 is an apocalyptic number.

1134349920 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 1134349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233843920).

1134349920 is an abundant number, since it is smaller than the sum of its proper divisors (3333337920).

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

1134349920 is a wasteful number, since it uses less digits than its factorization.

1134349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1134349920 is about 33680.1116387698. Note that the first 3 decimals coincide. The cubic root of 1134349920 is about 1042.9152426861.

The spelling of 1134349920 in words is "one billion, one hundred thirty-four million, three hundred forty-nine thousand, nine hundred twenty".