133025505131600 has 240 divisors, whose sum is σ = 321583833317376. Its totient is φ = 52880236992000.

The previous prime is 133025505131537. The next prime is 133025505131627. The reversal of 133025505131600 is 6131505520331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84891834017 + ... + 84891835583.

Almost surely, 2^{133025505131600} is an apocalyptic number.

133025505131600 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 133025505131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160791916658688).

133025505131600 is an abundant number, since it is smaller than the sum of its proper divisors (188558328185776).

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

133025505131600 is a wasteful number, since it uses less digits than its factorization.

133025505131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 133025505131600 in words is "one hundred thirty-three trillion, twenty-five billion, five hundred five million, one hundred thirty-one thousand, six hundred".