133456541540436 has 288 divisors, whose sum is σ = 357396304591872. Its totient is φ = 43534060416000.

The previous prime is 133456541540401. The next prime is 133456541540453. The reversal of 133456541540436 is 634045145654331.

133456541540436 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 6 + 54 + 1 + 540 + 43 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33355794436 + ... + 33355798436.

It is an arithmetic number, because the mean of its divisors is an integer number (1240959390944).

Almost surely, 2^{133456541540436} 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 133456541540436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178698152295936).

133456541540436 is an abundant number, since it is smaller than the sum of its proper divisors (223939763051436).

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

133456541540436 is a wasteful number, since it uses less digits than its factorization.

133456541540436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 133456541540436 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, five hundred forty-one million, five hundred forty thousand, four hundred thirty-six".