86134144 has 64 divisors (see below), whose sum is σ = 182865600. Its totient is φ = 40296960.

The previous prime is 86134141. The next prime is 86134171. The reversal of 86134144 is 44143168.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×86134144² = 14838181525225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86134141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260059 + ... + 260389.

It is an arithmetic number, because the mean of its divisors is an integer number (2857275).

Almost surely, 2^86134144 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 86134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432800).

86134144 is an abundant number, since it is smaller than the sum of its proper divisors (96731456).

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

86134144 is a wasteful number, since it uses less digits than its factorization.

86134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 86134144 is about 9280.8482370956. The cubic root of 86134144 is about 441.6298779057.

The spelling of 86134144 in words is "eighty-six million, one hundred thirty-four thousand, one hundred forty-four".