133967712256 has 351 divisors, whose sum is σ = 336734311671. Its totient is φ = 53127954432.

The previous prime is 133967712253. The next prime is 133967712259. The reversal of 133967712256 is 652217769331.

The square root of 133967712256 is 366016.

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

It is an interprime number because it is at equal distance from previous prime (133967712253) and next prime (133967712259).

Its product of digits (2857680) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (133967712253) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3115528171 + ... + 3115528213.

Almost surely, 2^133967712256 is an apocalyptic number.

133967712256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133967712256 is the 366016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133967712256

133967712256 is an abundant number, since it is smaller than the sum of its proper divisors (202766599415).

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

133967712256 is an frugal number, since it uses more digits than its factorization.

133967712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 71 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The spelling of 133967712256 in words is "one hundred thirty-three billion, nine hundred sixty-seven million, seven hundred twelve thousand, two hundred fifty-six".