123134519040 has 576 divisors, whose sum is σ = 448744665600. Its totient is φ = 28525658112.

The previous prime is 123134519033. The next prime is 123134519047. The reversal of 123134519040 is 40915431321.

It is an interprime number because it is at equal distance from previous prime (123134519033) and next prime (123134519047).

It is a junction number, because it is equal to n+sod(n) for n = 123134518992 and 123134519010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123134519047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186850231 + ... + 186850889.

It is an arithmetic number, because the mean of its divisors is an integer number (779070600).

Almost surely, 2^123134519040 is an apocalyptic number.

123134519040 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 123134519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224372332800).

123134519040 is an abundant number, since it is smaller than the sum of its proper divisors (325610146560).

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

123134519040 is a wasteful number, since it uses less digits than its factorization.

123134519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 123134519040 in words is "one hundred twenty-three billion, one hundred thirty-four million, five hundred nineteen thousand, forty".