1131315154400 has 144 divisors (see below), whose sum is σ = 2833032174336. Its totient is φ = 440943429120.

The previous prime is 1131315154373. The next prime is 1131315154451. The reversal of 1131315154400 is 44515131311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8468927 + ... + 8601473.

It is an arithmetic number, because the mean of its divisors is an integer number (19673834544).

Almost surely, 2^{1131315154400} is an apocalyptic number.

1131315154400 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 1131315154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416516087168).

1131315154400 is an abundant number, since it is smaller than the sum of its proper divisors (1701717019936).

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

1131315154400 is a wasteful number, since it uses less digits than its factorization.

1131315154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132841 (or 132828 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 1131315154400 in words is "one trillion, one hundred thirty-one billion, three hundred fifteen million, one hundred fifty-four thousand, four hundred".