123540000 has 240 divisors, whose sum is σ = 425113920. Its totient is φ = 31360000.

The previous prime is 123539947. The next prime is 123540007. The reversal of 123540000 is 45321.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (123540007) 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 39 ways as a sum of consecutive naturals, for example, 1739965 + ... + 1740035.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2^123540000 is an apocalyptic number.

123540000 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 123540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

123540000 is an abundant number, since it is smaller than the sum of its proper divisors (301573920).

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

123540000 is an equidigital number, since it uses as much as digits as its factorization.

123540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 123540000 is about 11114.8549248292. The cubic root of 123540000 is about 498.0457047454.

Adding to 123540000 its reverse (45321), we get a palindrome (123585321).

The spelling of 123540000 in words is "one hundred twenty-three million, five hundred forty thousand".