133796003954544 has 320 divisors, whose sum is σ = 405467223040000. Its totient is φ = 42124955717376.

The previous prime is 133796003954539. The next prime is 133796003954567. The reversal of 133796003954544 is 445459300697331.

133796003954544 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 6 + 0 + 0 + 39 + 54 + 544 = 666.

It is a congruent number.

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, 11631395097 + ... + 11631406599.

It is an arithmetic number, because the mean of its divisors is an integer number (1267085072000).

Almost surely, 2^{133796003954544} 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 133796003954544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202733611520000).

133796003954544 is an abundant number, since it is smaller than the sum of its proper divisors (271671219085456).

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

133796003954544 is a wasteful number, since it uses less digits than its factorization.

133796003954544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15657 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 133796003954544 in words is "one hundred thirty-three trillion, seven hundred ninety-six billion, three million, nine hundred fifty-four thousand, five hundred forty-four".