133302520032 has 96 divisors (see below), whose sum is σ = 381865518720. Its totient is φ = 40380357120.

The previous prime is 133302520027. The next prime is 133302520049. The reversal of 133302520032 is 230025203331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133302520032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133302519984 and 133302520011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167158 + ... + 3208970.

It is an arithmetic number, because the mean of its divisors is an integer number (3977765820).

Almost surely, 2^133302520032 is an apocalyptic number.

133302520032 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 133302520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190932759360).

133302520032 is an abundant number, since it is smaller than the sum of its proper divisors (248562998688).

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

133302520032 is a wasteful number, since it uses less digits than its factorization.

133302520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44856 (or 44848 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 133302520032 its reverse (230025203331), we get a palindrome (363327723363).

The spelling of 133302520032 in words is "one hundred thirty-three billion, three hundred two million, five hundred twenty thousand, thirty-two".