123540032 has 168 divisors, whose sum is σ = 321064128. Its totient is φ = 46126080.

The previous prime is 123540031. The next prime is 123540047. The reversal of 123540032 is 230045321.

It is a happy number.

It is a super-2 number, since 2×123540032² = 30524279013122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123539986 and 123540013.

It is not an unprimeable number, because it can be changed into a prime (123540031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2330918 + ... + 2330970.

It is an arithmetic number, because the mean of its divisors is an integer number (1911096).

Almost surely, 2^123540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160532064).

123540032 is an abundant number, since it is smaller than the sum of its proper divisors (197524096).

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

123540032 is a wasteful number, since it uses less digits than its factorization.

123540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 123540032 is about 11114.8563643441. The cubic root of 123540032 is about 498.0457477476.

Adding to 123540032 its reverse (230045321), we get a palindrome (353585353).

The spelling of 123540032 in words is "one hundred twenty-three million, five hundred forty thousand, thirty-two".