133028695800 has 2304 divisors, whose sum is σ = 656327992320. Its totient is φ = 23224320000.

The previous prime is 133028695777. The next prime is 133028695847. The reversal of 133028695800 is 8596820331.

It is a happy number.

133028695800 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 8 + 69 + 580 + 0 = 666.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1317115750 + ... + 1317115850.

It is an arithmetic number, because the mean of its divisors is an integer number (284864580).

Almost surely, 2^133028695800 is an apocalyptic number.

133028695800 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 133028695800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328163996160).

133028695800 is an abundant number, since it is smaller than the sum of its proper divisors (523299296520).

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

133028695800 is a wasteful number, since it uses less digits than its factorization.

133028695800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 133028 and 695800, that added together give a palindrome (828828).

The spelling of 133028695800 in words is "one hundred thirty-three billion, twenty-eight million, six hundred ninety-five thousand, eight hundred".