133976496784 has 45 divisors (see below), whose sum is σ = 281123024553. Its totient is φ = 61826521536.

The previous prime is 133976496781. The next prime is 133976496847. The reversal of 133976496784 is 487694679331.

The square root of 133976496784 is 366028.

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

It can be written as a sum of positive squares in only one way, i.e., 19819008400 + 114157488384 = 140780^2 + 337872^2 .

It is a Duffinian number.

Its product of digits (164602368) is a multiple of the sum of its prime factors (14112).

It is not an unprimeable number, because it can be changed into a prime (133976496781) 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 8 ways as a sum of consecutive naturals, for example, 19029937 + ... + 19036975.

Almost surely, 2^133976496784 is an apocalyptic number.

133976496784 is the 366028-th square number.

It is an amenable number.

133976496784 is an abundant number, since it is smaller than the sum of its proper divisors (147146527769).

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

133976496784 is an frugal number, since it uses more digits than its factorization.

133976496784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 7054 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 67.

The spelling of 133976496784 in words is "one hundred thirty-three billion, nine hundred seventy-six million, four hundred ninety-six thousand, seven hundred eighty-four".