86145140 has 48 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 33546240.

The previous prime is 86145131. The next prime is 86145149. The reversal of 86145140 is 4154168.

It is an interprime number because it is at equal distance from previous prime (86145131) and next prime (86145149).

It can be written as a sum of positive squares in 8 ways, for example, as 4892944 + 81252196 = 2212^2 + 9014^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86145149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191636 + ... + 192084.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^86145140 is an apocalyptic number.

It is an amenable number.

86145140 is an abundant number, since it is smaller than the sum of its proper divisors (99604060).

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

86145140 is a wasteful number, since it uses less digits than its factorization.

86145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 86145140 is about 9281.4406209381. The cubic root of 86145140 is about 441.6486701262.

The spelling of 86145140 in words is "eighty-six million, one hundred forty-five thousand, one hundred forty".