133280485776 has 75 divisors (see below), whose sum is σ = 385790436273. Its totient is φ = 44422447680.

The previous prime is 133280485759. The next prime is 133280485777. The reversal of 133280485776 is 677584082331.

It is a happy number.

The square root of 133280485776 is 365076.

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

133280485776 is a `hidden beast` number, since 1 + 3 + 3 + 28 + 0 + 48 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24063455376 + 109217030400 = 155124^2 + 330480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (133280485777) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13137666 + ... + 13147806.

Almost surely, 2^133280485776 is an apocalyptic number.

133280485776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133280485776 is the 365076-th square number.

It is an amenable number.

133280485776 is an abundant number, since it is smaller than the sum of its proper divisors (252509950497).

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

133280485776 is an frugal number, since it uses more digits than its factorization.

133280485776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20302 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 133280485776 in words is "one hundred thirty-three billion, two hundred eighty million, four hundred eighty-five thousand, seven hundred seventy-six".