132868873638 has 128 divisors (see below), whose sum is σ = 307388928000. Its totient is φ = 42497084160.

The previous prime is 132868873633. The next prime is 132868873651. The reversal of 132868873638 is 836378868231.

It is a happy number.

132868873638 is a `hidden beast` number, since 132 + 8 + 68 + 87 + 363 + 8 = 666.

It is a super-2 number, since 2×132868873638² (a number of 23 digits) contains 22 as substring.

Its product of digits (55738368) is a multiple of the sum of its prime divisors (1701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132868873633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117686658 + ... + 117687786.

It is an arithmetic number, because the mean of its divisors is an integer number (2401476000).

Almost surely, 2^132868873638 is an apocalyptic number.

132868873638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132868873638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153694464000).

132868873638 is an abundant number, since it is smaller than the sum of its proper divisors (174520054362).

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

132868873638 is a wasteful number, since it uses less digits than its factorization.

132868873638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 132868873638 in words is "one hundred thirty-two billion, eight hundred sixty-eight million, eight hundred seventy-three thousand, six hundred thirty-eight".