123136416 has 192 divisors, whose sum is σ = 407836800. Its totient is φ = 35831808.

The previous prime is 123136399. The next prime is 123136451. The reversal of 123136416 is 614631321.

123136416 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 123136416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213120 + ... + 213696.

It is an arithmetic number, because the mean of its divisors is an integer number (2124150).

Almost surely, 2^123136416 is an apocalyptic number.

123136416 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 123136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203918400).

123136416 is an abundant number, since it is smaller than the sum of its proper divisors (284700384).

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

123136416 is a wasteful number, since it uses less digits than its factorization.

123136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 123136416 is about 11096.6849103685. The cubic root of 123136416 is about 497.5027697800.

Adding to 123136416 its reverse (614631321), we get a palindrome (737767737).

The spelling of 123136416 in words is "one hundred twenty-three million, one hundred thirty-six thousand, four hundred sixteen".