133215297600 has 1344 divisors, whose sum is σ = 571463424000. Its totient is φ = 26370048000.

The previous prime is 133215297599. The next prime is 133215297623. The reversal of 133215297600 is 6792512331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894062326 + ... + 894062474.

It is an arithmetic number, because the mean of its divisors is an integer number (425196000).

Almost surely, 2^133215297600 is an apocalyptic number.

133215297600 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 133215297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712000).

133215297600 is an abundant number, since it is smaller than the sum of its proper divisors (438248126400).

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

133215297600 is a wasteful number, since it uses less digits than its factorization.

133215297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 133215297600 in words is "one hundred thirty-three billion, two hundred fifteen million, two hundred ninety-seven thousand, six hundred".