1330135488 has 336 divisors, whose sum is σ = 4506199776. Its totient is φ = 370606080.

The previous prime is 1330135483. The next prime is 1330135519. The reversal of 1330135488 is 8845310331.

1330135488 is a `hidden beast` number, since 13 + 30 + 135 + 488 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330135481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5708620 + ... + 5708852.

Almost surely, 2^1330135488 is an apocalyptic number.

1330135488 is a gapful number since it is divisible by the number (18) 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 1330135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253099888).

1330135488 is an abundant number, since it is smaller than the sum of its proper divisors (3176064288).

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

1330135488 is a wasteful number, since it uses less digits than its factorization.

1330135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1330135488 is about 36471.0225795768. The cubic root of 1330135488 is about 1099.7617908429.

The spelling of 1330135488 in words is "one billion, three hundred thirty million, one hundred thirty-five thousand, four hundred eighty-eight".