123742115136 has 42 divisors (see below), whose sum is σ = 354684432362. Its totient is φ = 41247371520.

The previous prime is 123742115089. The next prime is 123742115179. The reversal of 123742115136 is 631511247321.

123742115136 is a `hidden beast` number, since 123 + 7 + 4 + 2 + 11 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65564675136 + 58177440000 = 256056^2 + 241200^2 .

It is a super-2 number, since 2×123742115136² (a number of 23 digits) contains 22 as substring.

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 123742115136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107414455 + ... + 107415606.

Almost surely, 2^123742115136 is an apocalyptic number.

123742115136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123742115136 is an abundant number, since it is smaller than the sum of its proper divisors (230942317226).

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

123742115136 is a wasteful number, since it uses less digits than its factorization.

123742115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214830079 (or 214830066 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 123742115136 in words is "one hundred twenty-three billion, seven hundred forty-two million, one hundred fifteen thousand, one hundred thirty-six".