133536304240164 has 240 divisors, whose sum is σ = 420050324305920. Its totient is φ = 36137238471360.

The previous prime is 133536304240019. The next prime is 133536304240211. The reversal of 133536304240164 is 461042403635331.

133536304240164 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 63 + 0 + 424 + 0 + 164 = 666.

It is a super-3 number, since 3×133536304240164³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197497879 + ... + 198172865.

It is an arithmetic number, because the mean of its divisors is an integer number (1750209684608).

Almost surely, 2^{133536304240164} is an apocalyptic number.

133536304240164 is a gapful number since it is divisible by the number (14) 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 133536304240164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210025162152960).

133536304240164 is an abundant number, since it is smaller than the sum of its proper divisors (286514020065756).

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

133536304240164 is a wasteful number, since it uses less digits than its factorization.

133536304240164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679620 (or 679609 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 133536304240164 its reverse (461042403635331), we get a palindrome (594578707875495).

The spelling of 133536304240164 in words is "one hundred thirty-three trillion, five hundred thirty-six billion, three hundred four million, two hundred forty thousand, one hundred sixty-four".