133510252322000 has 160 divisors (see below), whose sum is σ = 323505085876128. Its totient is φ = 53292096000000.

The previous prime is 133510252321937. The next prime is 133510252322009. The reversal of 133510252322000 is 223252015331.

It can be written as a sum of positive squares in 16 ways, for example, as 52974058475584 + 80536193846416 = 7278328^2 + 8974196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133510252322009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10316835530 + ... + 10316848470.

Almost surely, 2^{133510252322000} is an apocalyptic number.

133510252322000 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 133510252322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161752542938064).

133510252322000 is an abundant number, since it is smaller than the sum of its proper divisors (189994833554128).

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

133510252322000 is a wasteful number, since it uses less digits than its factorization.

133510252322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23386 (or 23370 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 133510252322000 in words is "one hundred thirty-three trillion, five hundred ten billion, two hundred fifty-two million, three hundred twenty-two thousand".