133405786800 has 1440 divisors, whose sum is σ = 598416698880. Its totient is φ = 27006566400.

The previous prime is 133405786793. The next prime is 133405786807. The reversal of 133405786800 is 8687504331.

133405786800 is a `hidden beast` number, since 1 + 33 + 40 + 578 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133405786793) and next prime (133405786807).

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

It is not an unprimeable number, because it can be changed into a prime (133405786807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 224967304 + ... + 224967896.

It is an arithmetic number, because the mean of its divisors is an integer number (415567152).

Almost surely, 2^133405786800 is an apocalyptic number.

133405786800 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 133405786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299208349440).

133405786800 is an abundant number, since it is smaller than the sum of its proper divisors (465010912080).

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

133405786800 is a wasteful number, since it uses less digits than its factorization.

133405786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 133405786800 in words is "one hundred thirty-three billion, four hundred five million, seven hundred eighty-six thousand, eight hundred".