133095045407632 has 320 divisors, whose sum is σ = 346279373844480. Its totient is φ = 47964480307200.

The previous prime is 133095045407627. The next prime is 133095045407657. The reversal of 133095045407632 is 236704540590331.

It is a happy number.

It is a super-2 number, since 2×133095045407632² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133095045407632.

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, 5228217048 + ... + 5228242504.

It is an arithmetic number, because the mean of its divisors is an integer number (1082123043264).

Almost surely, 2^{133095045407632} 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 133095045407632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173139686922240).

133095045407632 is an abundant number, since it is smaller than the sum of its proper divisors (213184328436848).

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

133095045407632 is a wasteful number, since it uses less digits than its factorization.

133095045407632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29790 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

Adding to 133095045407632 its reverse (236704540590331), we get a palindrome (369799585997963).

The spelling of 133095045407632 in words is "one hundred thirty-three trillion, ninety-five billion, forty-five million, four hundred seven thousand, six hundred thirty-two".