133465012265536 has 112 divisors (see below), whose sum is σ = 305632385001216. Its totient is φ = 56641332363264.

The previous prime is 133465012265489. The next prime is 133465012265539. The reversal of 133465012265536 is 635562210564331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (133465012265539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246618920 + ... + 1246725976.

It is an arithmetic number, because the mean of its divisors is an integer number (2728860580368).

Almost surely, 2^{133465012265536} is an apocalyptic number.

133465012265536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133465012265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152816192500608).

133465012265536 is an abundant number, since it is smaller than the sum of its proper divisors (172167372735680).

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

133465012265536 is a wasteful number, since it uses less digits than its factorization.

133465012265536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134196 (or 134186 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 52.

The spelling of 133465012265536 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, twelve million, two hundred sixty-five thousand, five hundred thirty-six".