146129716101 has 8 divisors (see below), whose sum is σ = 206300775744. Its totient is φ = 91689233600.

The previous prime is 146129716093. The next prime is 146129716151. The reversal of 146129716101 is 101617921641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146129716101 - 2³ = 146129716093 is a prime.

It is a super-3 number, since 3×146129716101³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146129716101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146129716151) 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 7 ways as a sum of consecutive naturals, for example, 1432644225 + ... + 1432644326.

It is an arithmetic number, because the mean of its divisors is an integer number (25787596968).

Almost surely, 2^146129716101 is an apocalyptic number.

It is an amenable number.

146129716101 is a deficient number, since it is larger than the sum of its proper divisors (60171059643).

146129716101 is a wasteful number, since it uses less digits than its factorization.

146129716101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865288571.

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 146129716101 in words is "one hundred forty-six billion, one hundred twenty-nine million, seven hundred sixteen thousand, one hundred one".