133531223646432 has 384 divisors, whose sum is σ = 362295938833920. Its totient is φ = 43049277849600.

The previous prime is 133531223646421. The next prime is 133531223646463. The reversal of 133531223646432 is 234646322135331.

It is a happy number.

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

It is a congruent number.

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, 65876281003 + ... + 65876283029.

It is an arithmetic number, because the mean of its divisors is an integer number (943479007380).

Almost surely, 2^{133531223646432} is an apocalyptic number.

133531223646432 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 133531223646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181147969416960).

133531223646432 is an abundant number, since it is smaller than the sum of its proper divisors (228764715187488).

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

133531223646432 is a wasteful number, since it uses less digits than its factorization.

133531223646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 48.

The spelling of 133531223646432 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, two hundred twenty-three million, six hundred forty-six thousand, four hundred thirty-two".