1142131320 has 256 divisors, whose sum is σ = 4191436800. Its totient is φ = 274337280.

The previous prime is 1142131313. The next prime is 1142131343. The reversal of 1142131320 is 231312411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1142131293 and 1142131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508382 + ... + 1509138.

It is an arithmetic number, because the mean of its divisors is an integer number (16372800).

Almost surely, 2^1142131320 is an apocalyptic number.

1142131320 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 1142131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095718400).

1142131320 is an abundant number, since it is smaller than the sum of its proper divisors (3049305480).

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

1142131320 is a wasteful number, since it uses less digits than its factorization.

1142131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1142131320 is about 33795.4334193246. The cubic root of 1142131320 is about 1045.2945362997.

Adding to 1142131320 its reverse (231312411), we get a palindrome (1373443731).

The spelling of 1142131320 in words is "one billion, one hundred forty-two million, one hundred thirty-one thousand, three hundred twenty".