201434132224 has 144 divisors (see below), whose sum is σ = 436528838592. Its totient is φ = 92218097664.

The previous prime is 201434132219. The next prime is 201434132287. The reversal of 201434132224 is 422231434102.

201434132224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201434132192 and 201434132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326473164 + ... + 326473780.

It is an arithmetic number, because the mean of its divisors is an integer number (3031450268).

Almost surely, 2^201434132224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201434132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218264419296).

201434132224 is an abundant number, since it is smaller than the sum of its proper divisors (235094706368).

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

201434132224 is a wasteful number, since it uses less digits than its factorization.

201434132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201434132224 its reverse (422231434102), we get a palindrome (623665566326).

The spelling of 201434132224 in words is "two hundred one billion, four hundred thirty-four million, one hundred thirty-two thousand, two hundred twenty-four".