123867737136 has 640 divisors, whose sum is σ = 437731983360. Its totient is φ = 33022080000.

The previous prime is 123867737131. The next prime is 123867737173. The reversal of 123867737136 is 631737768321.

123867737136 is a `hidden beast` number, since 1 + 238 + 6 + 7 + 7 + 371 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (123867737131) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 135968521 + ... + 135969431.

It is an arithmetic number, because the mean of its divisors is an integer number (683956224).

Almost surely, 2^123867737136 is an apocalyptic number.

123867737136 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 123867737136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218865991680).

123867737136 is an abundant number, since it is smaller than the sum of its proper divisors (313864246224).

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

123867737136 is a wasteful number, since it uses less digits than its factorization.

123867737136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 123867737136 in words is "one hundred twenty-three billion, eight hundred sixty-seven million, seven hundred thirty-seven thousand, one hundred thirty-six".