1131379200 has 720 divisors, whose sum is σ = 4907650176. Its totient is φ = 243302400.

The previous prime is 1131379199. The next prime is 1131379211. The reversal of 1131379200 is 29731311.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18547170 + ... + 18547230.

Almost surely, 2^1131379200 is an apocalyptic number.

1131379200 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 1131379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453825088).

1131379200 is an abundant number, since it is smaller than the sum of its proper divisors (3776270976).

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

1131379200 is a wasteful number, since it uses less digits than its factorization.

1131379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1131379200 is about 33635.9807349213. The cubic root of 1131379200 is about 1042.0040254142.

The spelling of 1131379200 in words is "one billion, one hundred thirty-one million, three hundred seventy-nine thousand, two hundred".