1134952560 has 400 divisors, whose sum is σ = 4563136512. Its totient is φ = 256089600.

The previous prime is 1134952523. The next prime is 1134952573. The reversal of 1134952560 is 652594311.

1134952560 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 95 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5942065 + ... + 5942255.

Almost surely, 2^1134952560 is an apocalyptic number.

1134952560 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 1134952560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281568256).

1134952560 is an abundant number, since it is smaller than the sum of its proper divisors (3428183952).

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

1134952560 is a wasteful number, since it uses less digits than its factorization.

1134952560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1134952560 is about 33689.0569770066. The cubic root of 1134952560 is about 1043.0998979861.

The spelling of 1134952560 in words is "one billion, one hundred thirty-four million, nine hundred fifty-two thousand, five hundred sixty".