133649967360 has 576 divisors, whose sum is σ = 539597947392. Its totient is φ = 27433893888.

The previous prime is 133649967343. The next prime is 133649967361. The reversal of 133649967360 is 63769946331.

It is a self number, because there is not a number n which added to its sum of digits gives 133649967360.

It is not an unprimeable number, because it can be changed into a prime (133649967361) 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, 12924112 + ... + 12934448.

It is an arithmetic number, because the mean of its divisors is an integer number (936801992).

Almost surely, 2^133649967360 is an apocalyptic number.

133649967360 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 133649967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269798973696).

133649967360 is an abundant number, since it is smaller than the sum of its proper divisors (405947980032).

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

133649967360 is a wasteful number, since it uses less digits than its factorization.

133649967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 57.

The spelling of 133649967360 in words is "one hundred thirty-three billion, six hundred forty-nine million, nine hundred sixty-seven thousand, three hundred sixty".