1131958800 has 900 divisors, whose sum is σ = 5090317056. Its totient is φ = 239500800.

The previous prime is 1131958799. The next prime is 1131958819. The reversal of 1131958800 is 88591311.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36514785 + ... + 36514815.

Almost surely, 2^1131958800 is an apocalyptic number.

1131958800 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 1131958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545158528).

1131958800 is an abundant number, since it is smaller than the sum of its proper divisors (3958358256).

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

1131958800 is a wasteful number, since it uses less digits than its factorization.

1131958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1131958800 is about 33644.5954055031. The cubic root of 1131958800 is about 1042.1819328831.

The spelling of 1131958800 in words is "one billion, one hundred thirty-one million, nine hundred fifty-eight thousand, eight hundred".