133456564013344 has 384 divisors, whose sum is σ = 344421401909760. Its totient is φ = 49911324672000.

The previous prime is 133456564013287. The next prime is 133456564013369. The reversal of 133456564013344 is 443310465654331.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 133456564013291 and 133456564013300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180341562 + ... + 181080070.

It is an arithmetic number, because the mean of its divisors is an integer number (896930734140).

Almost surely, 2^{133456564013344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133456564013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172210700954880).

133456564013344 is an abundant number, since it is smaller than the sum of its proper divisors (210964837896416).

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

133456564013344 is a wasteful number, since it uses less digits than its factorization.

133456564013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738684 (or 738676 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 52.

The spelling of 133456564013344 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, five hundred sixty-four million, thirteen thousand, three hundred forty-four".