133151350200 has 384 divisors, whose sum is σ = 478731859200. Its totient is φ = 30274560000.

The previous prime is 133151350147. The next prime is 133151350271. The reversal of 133151350200 is 2053151331.

133151350200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12660144 + ... + 12670656.

It is an arithmetic number, because the mean of its divisors is an integer number (1246697550).

Almost surely, 2^133151350200 is an apocalyptic number.

133151350200 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 133151350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239365929600).

133151350200 is an abundant number, since it is smaller than the sum of its proper divisors (345580509000).

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

133151350200 is a wasteful number, since it uses less digits than its factorization.

133151350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 133151350200 in words is "one hundred thirty-three billion, one hundred fifty-one million, three hundred fifty thousand, two hundred".