146109312 has 128 divisors (see below), whose sum is σ = 438355200. Its totient is φ = 47900160.

The previous prime is 146109307. The next prime is 146109319. The reversal of 146109312 is 213901641.

146109312 is a `hidden beast` number, since 14 + 610 + 9 + 31 + 2 = 666.

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

It is a super-2 number, since 2×146109312² = 42695862106226688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146109319) 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, 231237 + ... + 231867.

It is an arithmetic number, because the mean of its divisors is an integer number (3424650).

Almost surely, 2^146109312 is an apocalyptic number.

146109312 is a gapful number since it is divisible by the number (12) 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 146109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219177600).

146109312 is an abundant number, since it is smaller than the sum of its proper divisors (292245888).

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

146109312 is an equidigital number, since it uses as much as digits as its factorization.

146109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 146109312 is about 12087.5684899818. The cubic root of 146109312 is about 526.6951249555.

The spelling of 146109312 in words is "one hundred forty-six million, one hundred nine thousand, three hundred twelve".