164129768 has 32 divisors (see below), whose sum is σ = 339984000. Its totient is φ = 73656960.

The previous prime is 164129759. The next prime is 164129773. The reversal of 164129768 is 867921461.

164129768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4853 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (10624500).

Almost surely, 2^164129768 is an apocalyptic number.

It is an amenable number.

164129768 is an abundant number, since it is smaller than the sum of its proper divisors (175854232).

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

164129768 is a wasteful number, since it uses less digits than its factorization.

164129768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23705 (or 23701 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 164129768 is about 12811.3140621874. The cubic root of 164129768 is about 547.5147016896.

The spelling of 164129768 in words is "one hundred sixty-four million, one hundred twenty-nine thousand, seven hundred sixty-eight".