199459129 has 9 divisors (see below), whose sum is σ = 206999247. Its totient is φ = 192185784.

The previous prime is 199459109. The next prime is 199459153. The reversal of 199459129 is 921954991.

The square root of 199459129 is 14123.

It is a perfect power (a square), and thus also a powerful number.

199459129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104591529 + 94867600 = 10227^2 + 9740^2 .

It is not a de Polignac number, because 199459129 - 2⁵ = 199459097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199459109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 409324 + ... + 409810.

Almost surely, 2^199459129 is an apocalyptic number.

199459129 is the 14123-rd square number.

199459129 is the 7062-nd centered octagonal number.

It is an amenable number.

199459129 is a deficient number, since it is larger than the sum of its proper divisors (7540118).

199459129 is an frugal number, since it uses more digits than its factorization.

199459129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its digits is 262440, while the sum is 49.

The cubic root of 199459129 is about 584.2758995744.

Multiplying 199459129 by its sum of digits (49), we get a square (9773497321 = 98861²).

The spelling of 199459129 in words is "one hundred ninety-nine million, four hundred fifty-nine thousand, one hundred twenty-nine".