1343133792 has 384 divisors, whose sum is σ = 5263211520. Its totient is φ = 321822720.

The previous prime is 1343133751. The next prime is 1343133797. The reversal of 1343133792 is 2973313431.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343133797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864088 + ... + 865640.

It is an arithmetic number, because the mean of its divisors is an integer number (13706280).

Almost surely, 2^1343133792 is an apocalyptic number.

1343133792 is a gapful number since it is divisible by the number (12) 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 1343133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631605760).

1343133792 is an abundant number, since it is smaller than the sum of its proper divisors (3920077728).

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

1343133792 is a wasteful number, since it uses less digits than its factorization.

1343133792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 1343133792 is about 36648.7897753800. The cubic root of 1343133792 is about 1103.3325360499.

The spelling of 1343133792 in words is "one billion, three hundred forty-three million, one hundred thirty-three thousand, seven hundred ninety-two".