146109216 has 96 divisors (see below), whose sum is σ = 423698688. Its totient is φ = 43715840.

The previous prime is 146109211. The next prime is 146109217. The reversal of 146109216 is 612901641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (146109211) 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, 86815 + ... + 88481.

It is an arithmetic number, because the mean of its divisors is an integer number (4413528).

Almost surely, 2^146109216 is an apocalyptic number.

146109216 is a gapful number since it is divisible by the number (16) 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 146109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849344).

146109216 is an abundant number, since it is smaller than the sum of its proper divisors (277589472).

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

146109216 is a wasteful number, since it uses less digits than its factorization.

146109216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 146109216 is about 12087.5645189591. The cubic root of 146109216 is about 526.6950096018.

The spelling of 146109216 in words is "one hundred forty-six million, one hundred nine thousand, two hundred sixteen".