146961920 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 49176576.

The previous prime is 146961911. The next prime is 146961959. The reversal of 146961920 is 29169641.

146961920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057211 + ... + 1057349.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^146961920 is an apocalyptic number.

146961920 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 146961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

146961920 is an abundant number, since it is smaller than the sum of its proper divisors (265511680).

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

146961920 is an equidigital number, since it uses as much as digits as its factorization.

146961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 146961920 is about 12122.7851585351. The cubic root of 146961920 is about 527.7176329205.

The spelling of 146961920 in words is "one hundred forty-six million, nine hundred sixty-one thousand, nine hundred twenty".