87189371136 has 144 divisors (see below), whose sum is σ = 294667945600. Its totient is φ = 24911235072.

The previous prime is 87189371123. The next prime is 87189371207. The reversal of 87189371136 is 63117398178.

87189371136 is a `hidden beast` number, since 87 + 189 + 371 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87189371136² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852631 + ... + 949398.

Almost surely, 2^87189371136 is an apocalyptic number.

It is an amenable number.

87189371136 is an abundant number, since it is smaller than the sum of its proper divisors (207478574464).

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

87189371136 is a wasteful number, since it uses less digits than its factorization.

87189371136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802061 (or 1802041 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 87189371136 in words is "eighty-seven billion, one hundred eighty-nine million, three hundred seventy-one thousand, one hundred thirty-six".