1134551040 has 224 divisors, whose sum is σ = 4152107520. Its totient is φ = 259129344.

The previous prime is 1134551027. The next prime is 1134551053. The reversal of 1134551040 is 401554311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1134551027) and next prime (1134551053).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1134551040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859501 + ... + 860819.

Almost surely, 2^1134551040 is an apocalyptic number.

1134551040 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 1134551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076053760).

1134551040 is an abundant number, since it is smaller than the sum of its proper divisors (3017556480).

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

1134551040 is an equidigital number, since it uses as much as digits as its factorization.

1134551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1134551040 is about 33683.0972447606. The cubic root of 1134551040 is about 1042.9768752608.

The spelling of 1134551040 in words is "one billion, one hundred thirty-four million, five hundred fifty-one thousand, forty".