133944288256 has 33 divisors (see below), whose sum is σ = 267781185129. Its totient is φ = 66966288384.

The previous prime is 133944288217. The next prime is 133944288271. The reversal of 133944288256 is 652882449331.

It is a happy number.

The square root of 133944288256 is 365984.

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., 39808230400 + 94136057856 = 199520^2 + 306816^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133944288197 and 133944288206.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11705770 + ... + 11717206.

Almost surely, 2^133944288256 is an apocalyptic number.

133944288256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133944288256 is the 365984-th square number.

It is an amenable number.

133944288256 is a deficient number, since it is larger than the sum of its proper divisors (133836896873).

133944288256 is an frugal number, since it uses more digits than its factorization.

133944288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22894 (or 11439 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 55.

The spelling of 133944288256 in words is "one hundred thirty-three billion, nine hundred forty-four million, two hundred eighty-eight thousand, two hundred fifty-six".