123038513136 has 600 divisors, whose sum is σ = 453043957200. Its totient is φ = 31877556480.

The previous prime is 123038513119. The next prime is 123038513137. The reversal of 123038513136 is 631315830321.

123038513136 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 8 + 513 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123038513136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123038513137) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 309920490 + ... + 309920886.

It is an arithmetic number, because the mean of its divisors is an integer number (755073262).

Almost surely, 2^123038513136 is an apocalyptic number.

123038513136 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 123038513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226521978600).

123038513136 is an abundant number, since it is smaller than the sum of its proper divisors (330005444064).

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

123038513136 is an equidigital number, since it uses as much as digits as its factorization.

123038513136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 123038513136 in words is "one hundred twenty-three billion, thirty-eight million, five hundred thirteen thousand, one hundred thirty-six".