133086777600 has 432 divisors, whose sum is σ = 505857623040. Its totient is φ = 30183628800.

The previous prime is 133086777589. The next prime is 133086777683. The reversal of 133086777600 is 6777680331.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133086777600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17602621 + ... + 17610179.

It is an arithmetic number, because the mean of its divisors is an integer number (1170966720).

Almost surely, 2^133086777600 is an apocalyptic number.

133086777600 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 133086777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252928811520).

133086777600 is an abundant number, since it is smaller than the sum of its proper divisors (372770845440).

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

133086777600 is a wasteful number, since it uses less digits than its factorization.

133086777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 133086777600 in words is "one hundred thirty-three billion, eighty-six million, seven hundred seventy-seven thousand, six hundred".