146444160 has 128 divisors (see below), whose sum is σ = 472586400. Its totient is φ = 38567936.

The previous prime is 146444149. The next prime is 146444167. The reversal of 146444160 is 61444641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146444167) 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, 170452 + ... + 171308.

Almost surely, 2^146444160 is an apocalyptic number.

146444160 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 146444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236293200).

146444160 is an abundant number, since it is smaller than the sum of its proper divisors (326142240).

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

146444160 is an equidigital number, since it uses as much as digits as its factorization.

146444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146444160 is about 12101.4114879216. The cubic root of 146444160 is about 527.0971715483.

The spelling of 146444160 in words is "one hundred forty-six million, four hundred forty-four thousand, one hundred sixty".