1298133760 has 144 divisors (see below), whose sum is σ = 3876993792. Its totient is φ = 404582400.

The previous prime is 1298133721. The next prime is 1298133761. The reversal of 1298133760 is 673318921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1298133761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91975 + ... + 105145.

It is an arithmetic number, because the mean of its divisors is an integer number (26923568).

Almost surely, 2^1298133760 is an apocalyptic number.

1298133760 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 1298133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938496896).

1298133760 is an abundant number, since it is smaller than the sum of its proper divisors (2578860032).

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

1298133760 is a wasteful number, since it uses less digits than its factorization.

1298133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1298133760 is about 36029.6233674458. The cubic root of 1298133760 is about 1090.8703762692.

The spelling of 1298133760 in words is "one billion, two hundred ninety-eight million, one hundred thirty-three thousand, seven hundred sixty".