133246388352 has 768 divisors, whose sum is σ = 488487628800. Its totient is φ = 31701196800.

The previous prime is 133246388323. The next prime is 133246388377. The reversal of 133246388352 is 253883642331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121908318 + ... + 121909410.

It is an arithmetic number, because the mean of its divisors is an integer number (636051600).

Almost surely, 2^133246388352 is an apocalyptic number.

133246388352 is a gapful number since it is divisible by the number (12) 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 133246388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244243814400).

133246388352 is an abundant number, since it is smaller than the sum of its proper divisors (355241240448).

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

133246388352 is a wasteful number, since it uses less digits than its factorization.

133246388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1166 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 133246388352 in words is "one hundred thirty-three billion, two hundred forty-six million, three hundred eighty-eight thousand, three hundred fifty-two".