133536668400 has 180 divisors, whose sum is σ = 463719471592. Its totient is φ = 35585948160.

The previous prime is 133536668383. The next prime is 133536668449. The reversal of 133536668400 is 4866635331.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5737587 + ... + 5760813.

Almost surely, 2^133536668400 is an apocalyptic number.

133536668400 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 133536668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231859735796).

133536668400 is an abundant number, since it is smaller than the sum of its proper divisors (330182803192).

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

133536668400 is a wasteful number, since it uses less digits than its factorization.

133536668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24848 (or 24834 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 133536668400 in words is "one hundred thirty-three billion, five hundred thirty-six million, six hundred sixty-eight thousand, four hundred".