1133913600 has 480 divisors, whose sum is σ = 4429671840. Its totient is φ = 283115520.

The previous prime is 1133913563. The next prime is 1133913619. The reversal of 1133913600 is 63193311.

1133913600 is a `hidden beast` number, since 1 + 13 + 39 + 13 + 600 = 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875104 + ... + 5875296.

It is an arithmetic number, because the mean of its divisors is an integer number (9228483).

Almost surely, 2^1133913600 is an apocalyptic number.

1133913600 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 1133913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214835920).

1133913600 is an abundant number, since it is smaller than the sum of its proper divisors (3295758240).

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

1133913600 is a wasteful number, since it uses less digits than its factorization.

1133913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1133913600 is about 33673.6336025680. The cubic root of 1133913600 is about 1042.7815087808.

The spelling of 1133913600 in words is "one billion, one hundred thirty-three million, nine hundred thirteen thousand, six hundred".