133464543601500 has 768 divisors, whose sum is σ = 446364172800000. Its totient is φ = 34416721152000.

The previous prime is 133464543601457. The next prime is 133464543601567. The reversal of 133464543601500 is 5106345464331.

133464543601500 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 45 + 43 + 60 + 1 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14106806770 + ... + 14106816230.

It is an arithmetic number, because the mean of its divisors is an integer number (581203350000).

Almost surely, 2^{133464543601500} is an apocalyptic number.

133464543601500 is a gapful number since it is divisible by the number (10) 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 133464543601500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223182086400000).

133464543601500 is an abundant number, since it is smaller than the sum of its proper divisors (312899629198500).

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

133464543601500 is a wasteful number, since it uses less digits than its factorization.

133464543601500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 133464543601500 in words is "one hundred thirty-three trillion, four hundred sixty-four billion, five hundred forty-three million, six hundred one thousand, five hundred".