1292133648 has 80 divisors (see below), whose sum is σ = 3600047360. Its totient is φ = 396997632.

The previous prime is 1292133631. The next prime is 1292133683. The reversal of 1292133648 is 8463312921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647340 + ... + 649332.

It is an arithmetic number, because the mean of its divisors is an integer number (45000592).

Almost surely, 2^1292133648 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 1292133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800023680).

1292133648 is an abundant number, since it is smaller than the sum of its proper divisors (2307913712).

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

1292133648 is a wasteful number, since it uses less digits than its factorization.

1292133648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3050 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 1292133648 is about 35946.2605565586. The cubic root of 1292133648 is about 1089.1870739168.

It can be divided in two parts, 1292 and 133648, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 1292133648 in words is "one billion, two hundred ninety-two million, one hundred thirty-three thousand, six hundred forty-eight".