123135600 has 240 divisors, whose sum is σ = 458327808. Its totient is φ = 27678720.

The previous prime is 123135559. The next prime is 123135601. The reversal of 123135600 is 6531321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123135601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 898732 + ... + 898868.

Almost surely, 2^123135600 is an apocalyptic number.

123135600 is a gapful number since it is divisible by the number (10) 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 123135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229163904).

123135600 is an abundant number, since it is smaller than the sum of its proper divisors (335192208).

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

123135600 is a wasteful number, since it uses less digits than its factorization.

123135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 123135600 is about 11096.6481425699. The cubic root of 123135600 is about 497.5016708276.

123135600 divided by its sum of digits (21) gives a triangular number (5863600 = T₃₄₂₄).

Adding to 123135600 its reverse (6531321), we get a palindrome (129666921).

The spelling of 123135600 in words is "one hundred twenty-three million, one hundred thirty-five thousand, six hundred".