133795026320400 has 675 divisors, whose sum is σ = 484225975343341. Its totient is φ = 35380523208960.

The previous prime is 133795026320381. The next prime is 133795026320401. The reversal of 133795026320400 is 4023620597331.

The square root of 133795026320400 is 11566980.

It is a perfect power (a square), and thus also a powerful number.

133795026320400 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 5 + 0 + 2 + 632 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48166209475344 + 85628816845056 = 6940188^2 + 9253584^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×133795026320400² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133795026320401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 372688095421 + ... + 372688095779.

Almost surely, 2^{133795026320400} is an apocalyptic number.

133795026320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133795026320400 is the 11566980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133795026320400

133795026320400 is an abundant number, since it is smaller than the sum of its proper divisors (350430949022941).

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

133795026320400 is an frugal number, since it uses more digits than its factorization.

133795026320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 133795026320400 in words is "one hundred thirty-three trillion, seven hundred ninety-five billion, twenty-six million, three hundred twenty thousand, four hundred".