133203852000 has 576 divisors, whose sum is σ = 501807930624. Its totient is φ = 34684070400.

The previous prime is 133203851987. The next prime is 133203852037. The reversal of 133203852000 is 258302331.

133203852000 is a `hidden beast` number, since 133 + 2 + 0 + 3 + 8 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41794407 + ... + 41797593.

It is an arithmetic number, because the mean of its divisors is an integer number (871194324).

Almost surely, 2^133203852000 is an apocalyptic number.

133203852000 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 133203852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250903965312).

133203852000 is an abundant number, since it is smaller than the sum of its proper divisors (368604078624).

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

133203852000 is an equidigital number, since it uses as much as digits as its factorization.

133203852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 133203852000 in words is "one hundred thirty-three billion, two hundred three million, eight hundred fifty-two thousand".