133630306405350 has 192 divisors, whose sum is σ = 342912920739840. Its totient is φ = 34422279091200.

The previous prime is 133630306405319. The next prime is 133630306405357. The reversal of 133630306405350 is 53504603036331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133630306405357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131758986 + ... + 132769314.

It is an arithmetic number, because the mean of its divisors is an integer number (1786004795520).

Almost surely, 2^{133630306405350} is an apocalyptic number.

133630306405350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133630306405350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171456460369920).

133630306405350 is an abundant number, since it is smaller than the sum of its proper divisors (209282614334490).

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

133630306405350 is a wasteful number, since it uses less digits than its factorization.

133630306405350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010655 (or 1010650 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 42.

The spelling of 133630306405350 in words is "one hundred thirty-three trillion, six hundred thirty billion, three hundred six million, four hundred five thousand, three hundred fifty".