133514252000000 has 252 divisors, whose sum is σ = 333473533046640. Its totient is φ = 53350540800000.

The previous prime is 133514251999969. The next prime is 133514252000039. The reversal of 133514252000000 is 252415331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3987983261 + ... + 3988016739.

It is an arithmetic number, because the mean of its divisors is an integer number (1323307670820).

Almost surely, 2^{133514252000000} is an apocalyptic number.

133514252000000 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 133514252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166736766523320).

133514252000000 is an abundant number, since it is smaller than the sum of its proper divisors (199959281046640).

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

133514252000000 is an frugal number, since it uses more digits than its factorization.

133514252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34522 (or 34483 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 133514252000000 in words is "one hundred thirty-three trillion, five hundred fourteen billion, two hundred fifty-two million", and thus it is an aban number.