123149376 has 112 divisors (see below), whose sum is σ = 413796480. Its totient is φ = 35182080.

The previous prime is 123149371. The next prime is 123149381. The reversal of 123149376 is 673941321.

It is an interprime number because it is at equal distance from previous prime (123149371) and next prime (123149381).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123149376.

It is not an unprimeable number, because it can be changed into a prime (123149371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7006 + ... + 17186.

Almost surely, 2^123149376 is an apocalyptic number.

123149376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206898240).

123149376 is an abundant number, since it is smaller than the sum of its proper divisors (290647104).

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

123149376 is a wasteful number, since it uses less digits than its factorization.

123149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10193 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 123149376 is about 11097.2688531909. The cubic root of 123149376 is about 497.5202230780.

The spelling of 123149376 in words is "one hundred twenty-three million, one hundred forty-nine thousand, three hundred seventy-six".