1331919144 has 96 divisors (see below), whose sum is σ = 3812140800. Its totient is φ = 419253120.

The previous prime is 1331919119. The next prime is 1331919151. The reversal of 1331919144 is 4419191331.

1331919144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331919099 and 1331919108.

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, 125734 + ... + 135914.

It is an arithmetic number, because the mean of its divisors is an integer number (39709800).

Almost surely, 2^1331919144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331919144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906070400).

1331919144 is an abundant number, since it is smaller than the sum of its proper divisors (2480221656).

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

1331919144 is a wasteful number, since it uses less digits than its factorization.

1331919144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10288 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1331919144 is about 36495.4674446019. The cubic root of 1331919144 is about 1100.2531494503.

The spelling of 1331919144 in words is "one billion, three hundred thirty-one million, nine hundred nineteen thousand, one hundred forty-four".