133053766400 has 108 divisors (see below), whose sum is σ = 336336618912. Its totient is φ = 52089016320.

The previous prime is 133053766387. The next prime is 133053766451. The reversal of 133053766400 is 4667350331.

It is a happy number.

133053766400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133053766400³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79634 + ... + 521966.

Almost surely, 2^133053766400 is an apocalyptic number.

133053766400 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 133053766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168309456).

133053766400 is an abundant number, since it is smaller than the sum of its proper divisors (203282852512).

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

133053766400 is an equidigital number, since it uses as much as digits as its factorization.

133053766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442406 (or 442387 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 133053766400 in words is "one hundred thirty-three billion, fifty-three million, seven hundred sixty-six thousand, four hundred".