87827134140153 has 24 divisors (see below), whose sum is σ = 126997152367176. Its totient is φ = 58488804518400.

The previous prime is 87827134140073. The next prime is 87827134140173. The reversal of 87827134140153 is 35104143172878.

87827134140153 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 71 + 3 + 414 + 0 + 153 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 556468257024 + 87270665883129 = 745968^2 + 9341877^2 .

It is not a de Polignac number, because 87827134140153 - 2²⁹ = 87826597269241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87827134140153.

It is not an unprimeable number, because it can be changed into a prime (87827134140173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34787223 + ... + 37226403.

It is an arithmetic number, because the mean of its divisors is an integer number (5291548015299).

Almost surely, 2^{87827134140153} is an apocalyptic number.

It is an amenable number.

87827134140153 is a deficient number, since it is larger than the sum of its proper divisors (39170018227023).

87827134140153 is a wasteful number, since it uses less digits than its factorization.

87827134140153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443465 (or 2443462 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 87827134140153 in words is "eighty-seven trillion, eight hundred twenty-seven billion, one hundred thirty-four million, one hundred forty thousand, one hundred fifty-three".