133021000144032 has 576 divisors, whose sum is σ = 472202823730176. Its totient is φ = 31839186862080.

The previous prime is 133021000144027. The next prime is 133021000144063. The reversal of 133021000144032 is 230441000120331.

It is a happy number.

It is a super-2 number, since 2×133021000144032² (a number of 29 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 = 133021000143993 and 133021000144011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740714283 + ... + 740893845.

It is an arithmetic number, because the mean of its divisors is an integer number (819796568976).

Almost surely, 2^{133021000144032} is an apocalyptic number.

133021000144032 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 133021000144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236101411865088).

133021000144032 is an abundant number, since it is smaller than the sum of its proper divisors (339181823586144).

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

133021000144032 is a wasteful number, since it uses less digits than its factorization.

133021000144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180213 (or 180192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133021000144032 its reverse (230441000120331), we get a palindrome (363462000264363).

The spelling of 133021000144032 in words is "one hundred thirty-three trillion, twenty-one billion, one hundred forty-four thousand, thirty-two".