87432120132 has 192 divisors, whose sum is σ = 245877424128. Its totient is φ = 23654592000.

The previous prime is 87432120107. The next prime is 87432120133. The reversal of 87432120132 is 23102123478.

It is a junction number, because it is equal to n+sod(n) for n = 87432120093 and 87432120102.

It is not an unprimeable number, because it can be changed into a prime (87432120133) 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, 74663907 + ... + 74665077.

It is an arithmetic number, because the mean of its divisors is an integer number (1280611584).

Almost surely, 2^87432120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87432120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938712064).

87432120132 is an abundant number, since it is smaller than the sum of its proper divisors (158445303996).

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

87432120132 is a wasteful number, since it uses less digits than its factorization.

87432120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

It can be divided in two parts, 874321 and 20132, that added together give a triangular number (894453 = T₁₃₃₇).

The spelling of 87432120132 in words is "eighty-seven billion, four hundred thirty-two million, one hundred twenty thousand, one hundred thirty-two".