133876670400 has 1008 divisors, whose sum is σ = 562129521408. Its totient is φ = 31021056000.

The previous prime is 133876670381. The next prime is 133876670429. The reversal of 133876670400 is 4076678331.

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 143 ways as a sum of consecutive naturals, for example, 98365720 + ... + 98367080.

It is an arithmetic number, because the mean of its divisors is an integer number (557668176).

Almost surely, 2^133876670400 is an apocalyptic number.

133876670400 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 133876670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281064760704).

133876670400 is an abundant number, since it is smaller than the sum of its proper divisors (428252851008).

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

133876670400 is a wasteful number, since it uses less digits than its factorization.

133876670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 133876670400 in words is "one hundred thirty-three billion, eight hundred seventy-six million, six hundred seventy thousand, four hundred".