1131641280 has 756 divisors, whose sum is σ = 5129207928. Its totient is φ = 235146240.

The previous prime is 1131641249. The next prime is 1131641293. The reversal of 1131641280 is 821461311.

It is a happy number.

1131641280 is a `hidden beast` number, since 1 + 13 + 1 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×1131641280² = 2561223973200076800, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 102876475 + ... + 102876485.

Almost surely, 2^1131641280 is an apocalyptic number.

1131641280 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 1131641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564603964).

1131641280 is an abundant number, since it is smaller than the sum of its proper divisors (3997566648).

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

1131641280 is an frugal number, since it uses more digits than its factorization.

1131641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1131641280 is about 33639.8763374659. The cubic root of 1131641280 is about 1042.0844780543.

It can be divided in two parts, 1131 and 641280, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 1131641280 in words is "one billion, one hundred thirty-one million, six hundred forty-one thousand, two hundred eighty".