164125440 has 180 divisors, whose sum is σ = 587641824. Its totient is φ = 43739136.

The previous prime is 164125427. The next prime is 164125469. The reversal of 164125440 is 44521461.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102889 + ... + 104471.

Almost surely, 2^164125440 is an apocalyptic number.

164125440 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 164125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293820912).

164125440 is an abundant number, since it is smaller than the sum of its proper divisors (423516384).

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

164125440 is an equidigital number, since it uses as much as digits as its factorization.

164125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164125440 is about 12811.1451478781. The cubic root of 164125440 is about 547.5098891064.

The spelling of 164125440 in words is "one hundred sixty-four million, one hundred twenty-five thousand, four hundred forty".