123775164 has 72 divisors (see below), whose sum is σ = 332972640. Its totient is φ = 38633472.

The previous prime is 123775163. The next prime is 123775217. The reversal of 123775164 is 461577321.

It is a happy number.

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 (123775163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160572 + ... + 161340.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2^123775164 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 123775164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166486320).

123775164 is an abundant number, since it is smaller than the sum of its proper divisors (209197476).

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

123775164 is a wasteful number, since it uses less digits than its factorization.

123775164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 123775164 is about 11125.4287108408. The cubic root of 123775164 is about 498.3615219778.

The spelling of 123775164 in words is "one hundred twenty-three million, seven hundred seventy-five thousand, one hundred sixty-four".