133651046400 has 504 divisors, whose sum is σ = 469559060880. Its totient is φ = 33448919040.

The previous prime is 133651046377. The next prime is 133651046411. The reversal of 133651046400 is 4640156331.

133651046400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1249075147 + ... + 1249075253.

Almost surely, 2^133651046400 is an apocalyptic number.

133651046400 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 133651046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234779530440).

133651046400 is an abundant number, since it is smaller than the sum of its proper divisors (335908014480).

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

133651046400 is an equidigital number, since it uses as much as digits as its factorization.

133651046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 133651046400 in words is "one hundred thirty-three billion, six hundred fifty-one million, forty-six thousand, four hundred".