133630122644634 has 256 divisors, whose sum is σ = 343853538213888. Its totient is φ = 33615972000000.

The previous prime is 133630122644597. The next prime is 133630122644657. The reversal of 133630122644634 is 436446221036331.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4278749799 + ... + 4278781029.

It is an arithmetic number, because the mean of its divisors is an integer number (1343177883648).

Almost surely, 2^{133630122644634} is an apocalyptic number.

133630122644634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133630122644634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171926769106944).

133630122644634 is an abundant number, since it is smaller than the sum of its proper divisors (210223415569254).

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

133630122644634 is a wasteful number, since it uses less digits than its factorization.

133630122644634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33353.

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 133630122644634 in words is "one hundred thirty-three trillion, six hundred thirty billion, one hundred twenty-two million, six hundred forty-four thousand, six hundred thirty-four".