193840129 has 24 divisors (see below), whose sum is σ = 230006400. Its totient is φ = 162860544.

The previous prime is 193840121. The next prime is 193840177. The reversal of 193840129 is 921048391.

It is not a de Polignac number, because 193840129 - 2³ = 193840121 is a prime.

It is a super-2 number, since 2×193840129² = 75147991221473282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193840121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973972 + ... + 974170.

It is an arithmetic number, because the mean of its divisors is an integer number (9583600).

Almost surely, 2^193840129 is an apocalyptic number.

It is an amenable number.

193840129 is a deficient number, since it is larger than the sum of its proper divisors (36166271).

193840129 is a wasteful number, since it uses less digits than its factorization.

193840129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 193840129 is about 13922.6480599058. The cubic root of 193840129 is about 578.7369751402.

The spelling of 193840129 in words is "one hundred ninety-three million, eight hundred forty thousand, one hundred twenty-nine".