133244912166976 has 49 divisors (see below), whose sum is σ = 266768657157961. Its totient is φ = 66032876826112.

The previous prime is 133244912166887. The next prime is 133244912167001. The reversal of 133244912166976 is 679661219442331.

The square root of 133244912166976 is 11543176.

The cubic root of 133244912166976 is 51076.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 20149684545600 + 113095227621376 = 4488840^2 + 10634624^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1179158514696 + ... + 1179158514808.

Almost surely, 2^{133244912166976} is an apocalyptic number.

133244912166976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133244912166976 is the 11543176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133244912166976

133244912166976 is an abundant number, since it is smaller than the sum of its proper divisors (133523744990985).

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

133244912166976 is an frugal number, since it uses more digits than its factorization.

133244912166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 115 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 64.

133244912166976 divided by its sum of digits (64) gives a 6-th power (2081951752609 = 113⁶).

The spelling of 133244912166976 in words is "one hundred thirty-three trillion, two hundred forty-four billion, nine hundred twelve million, one hundred sixty-six thousand, nine hundred seventy-six".