123919488 has 288 divisors, whose sum is σ = 451476480. Its totient is φ = 31933440.

The previous prime is 123919447. The next prime is 123919513. The reversal of 123919488 is 884919321.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975681 + ... + 975807.

Almost surely, 2^123919488 is an apocalyptic number.

123919488 is a gapful number since it is divisible by the number (18) 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 123919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225738240).

123919488 is an abundant number, since it is smaller than the sum of its proper divisors (327556992).

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

123919488 is a wasteful number, since it uses less digits than its factorization.

123919488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 123919488 is about 11131.9130431386. The cubic root of 123919488 is about 498.5551461497. Note that the first 3 decimals are identical.

The spelling of 123919488 in words is "one hundred twenty-three million, nine hundred nineteen thousand, four hundred eighty-eight".