123145904 has 40 divisors (see below), whose sum is σ = 273211680. Its totient is φ = 52674048.

The previous prime is 123145901. The next prime is 123145907. The reversal of 123145904 is 409541321.

It is an interprime number because it is at equal distance from previous prime (123145901) and next prime (123145907).

It is not an unprimeable number, because it can be changed into a prime (123145901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94892 + ... + 96180.

It is an arithmetic number, because the mean of its divisors is an integer number (6830292).

Almost surely, 2^123145904 is an apocalyptic number.

123145904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123145904 is an abundant number, since it is smaller than the sum of its proper divisors (150065776).

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

123145904 is a wasteful number, since it uses less digits than its factorization.

123145904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 123145904 is about 11097.1124172012. The cubic root of 123145904 is about 497.5155474380.

The spelling of 123145904 in words is "one hundred twenty-three million, one hundred forty-five thousand, nine hundred four".