164121540 has 96 divisors (see below), whose sum is σ = 513063936. Its totient is φ = 38855040.

The previous prime is 164121521. The next prime is 164121571. The reversal of 164121540 is 45121461.

It is a happy number.

164121540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164121540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25489 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (5344416).

Almost surely, 2^164121540 is an apocalyptic number.

164121540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256531968).

164121540 is an abundant number, since it is smaller than the sum of its proper divisors (348942396).

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

164121540 is a wasteful number, since it uses less digits than its factorization.

164121540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164121540 is about 12810.9929357564. The cubic root of 164121540 is about 547.5055523717.

The spelling of 164121540 in words is "one hundred sixty-four million, one hundred twenty-one thousand, five hundred forty".