123153601500 has 768 divisors, whose sum is σ = 452371046400. Its totient is φ = 28740096000.

The previous prime is 123153601469. The next prime is 123153601507. The reversal of 123153601500 is 5106351321.

123153601500 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 3 + 601 + 50 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123153601507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 265990269 + ... + 265990731.

It is an arithmetic number, because the mean of its divisors is an integer number (589024800).

Almost surely, 2^123153601500 is an apocalyptic number.

123153601500 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 123153601500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226185523200).

123153601500 is an abundant number, since it is smaller than the sum of its proper divisors (329217444900).

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

123153601500 is a wasteful number, since it uses less digits than its factorization.

123153601500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 123153601500 its reverse (5106351321), we get a palindrome (128259952821).

The spelling of 123153601500 in words is "one hundred twenty-three billion, one hundred fifty-three million, six hundred one thousand, five hundred".