164013140 has 24 divisors (see below), whose sum is σ = 350076552. Its totient is φ = 64529280.

The previous prime is 164013139. The next prime is 164013151. The reversal of 164013140 is 41310461.

It can be written as a sum of positive squares in 4 ways, for example, as 2316484 + 161696656 = 1522^2 + 12716^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65999 + ... + 68438.

It is an arithmetic number, because the mean of its divisors is an integer number (14586523).

Almost surely, 2^164013140 is an apocalyptic number.

164013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164013140 is an abundant number, since it is smaller than the sum of its proper divisors (186063412).

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

164013140 is a wasteful number, since it uses less digits than its factorization.

164013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134507 (or 134505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 164013140 is about 12806.7614953977. The cubic root of 164013140 is about 547.3849858834.

The spelling of 164013140 in words is "one hundred sixty-four million, thirteen thousand, one hundred forty".