205214161431132 has 144 divisors (see below), whose sum is σ = 596017235765952. Its totient is φ = 58318582210560.

The previous prime is 205214161431131. The next prime is 205214161431143. The reversal of 205214161431132 is 231134161412502.

205214161431132 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 1 + 4 + 1 + 614 + 3 + 1 + 1 + 32 = 666.

It is a super-2 number, since 2×205214161431132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205214161431131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 278851798 + ... + 279586754.

It is an arithmetic number, because the mean of its divisors is an integer number (4139008581708).

Almost surely, 2^{205214161431132} 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 205214161431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298008617882976).

205214161431132 is an abundant number, since it is smaller than the sum of its proper divisors (390803074334820).

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

205214161431132 is a wasteful number, since it uses less digits than its factorization.

205214161431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740908 (or 740903 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 205214161431132 in words is "two hundred five trillion, two hundred fourteen billion, one hundred sixty-one million, four hundred thirty-one thousand, one hundred thirty-two".