133287720900 has 216 divisors, whose sum is σ = 415833509952. Its totient is φ = 32899680000.

The previous prime is 133287720899. The next prime is 133287720901. The reversal of 133287720900 is 9027782331.

It is an interprime number because it is at equal distance from previous prime (133287720899) and next prime (133287720901).

It is not an unprimeable number, because it can be changed into a prime (133287720901) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6620850 + ... + 6640950.

Almost surely, 2^133287720900 is an apocalyptic number.

133287720900 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 133287720900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207916754976).

133287720900 is an abundant number, since it is smaller than the sum of its proper divisors (282545789052).

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

133287720900 is a wasteful number, since it uses less digits than its factorization.

133287720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20203 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 133287720900 in words is "one hundred thirty-three billion, two hundred eighty-seven million, seven hundred twenty thousand, nine hundred".