133242520576 has 297 divisors, whose sum is σ = 316187138631. Its totient is φ = 56067686400.

The previous prime is 133242520573. The next prime is 133242520589. The reversal of 133242520576 is 675025242331.

The square root of 133242520576 is 365024.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12294374400 + 120948146176 = 110880^2 + 347776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133242520573) 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, 2184303586 + ... + 2184303646.

Almost surely, 2^133242520576 is an apocalyptic number.

133242520576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133242520576 is the 365024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133242520576

133242520576 is an abundant number, since it is smaller than the sum of its proper divisors (182944618055).

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

133242520576 is an equidigital number, since it uses as much as digits as its factorization.

133242520576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 133242520576 in words is "one hundred thirty-three billion, two hundred forty-two million, five hundred twenty thousand, five hundred seventy-six".