1335871152 has 480 divisors, whose sum is σ = 5208952320. Its totient is φ = 308551680.

The previous prime is 1335871151. The next prime is 1335871157. The reversal of 1335871152 is 2511785331.

It is a happy number.

1335871152 is a `hidden beast` number, since 13 + 3 + 587 + 11 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1335871151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3581238 + ... + 3581610.

It is an arithmetic number, because the mean of its divisors is an integer number (10851984).

Almost surely, 2^1335871152 is an apocalyptic number.

1335871152 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 1335871152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604476160).

1335871152 is an abundant number, since it is smaller than the sum of its proper divisors (3873081168).

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

1335871152 is a wasteful number, since it uses less digits than its factorization.

1335871152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 1335871152 is about 36549.5711602749. The cubic root of 1335871152 is about 1101.3402814389.

The spelling of 1335871152 in words is "one billion, three hundred thirty-five million, eight hundred seventy-one thousand, one hundred fifty-two".