133505467456 has 21 divisors (see below), whose sum is σ = 264930712581. Its totient is φ = 66751272192.

The previous prime is 133505467453. The next prime is 133505467483. The reversal of 133505467456 is 654764505331.

The square root of 133505467456 is 365384.

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., 125117838400 + 8387629056 = 353720^2 + 91584^2 .

It is a super-2 number, since 2×133505467456² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133505467451) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2900236 + ... + 2945908.

Almost surely, 2^133505467456 is an apocalyptic number.

133505467456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133505467456 is the 365384-th square number.

It is an amenable number.

133505467456 is a deficient number, since it is larger than the sum of its proper divisors (131425245125).

133505467456 is an frugal number, since it uses more digits than its factorization.

133505467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91358 (or 45675 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

Multiplying 133505467456 by its sum of digits (49), we get a square (6541767905344 = 2557688²).

The spelling of 133505467456 in words is "one hundred thirty-three billion, five hundred five million, four hundred sixty-seven thousand, four hundred fifty-six".