123135714160 has 80 divisors (see below), whose sum is σ = 291846427776. Its totient is φ = 48304929024.

The previous prime is 123135714157. The next prime is 123135714181. The reversal of 123135714160 is 61417531321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×123135714160³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166119 + ... + 1267321.

Almost surely, 2^123135714160 is an apocalyptic number.

123135714160 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 123135714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145923213888).

123135714160 is an abundant number, since it is smaller than the sum of its proper divisors (168710713616).

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

123135714160 is a wasteful number, since it uses less digits than its factorization.

123135714160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101510 (or 101504 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 123135714160 in words is "one hundred twenty-three billion, one hundred thirty-five million, seven hundred fourteen thousand, one hundred sixty".