146262912 has 64 divisors (see below), whose sum is σ = 408979200. Its totient is φ = 46185984.

The previous prime is 146262871. The next prime is 146262913. The reversal of 146262912 is 219262641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146262913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2728 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (6390300).

Almost surely, 2^146262912 is an apocalyptic number.

146262912 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 146262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204489600).

146262912 is an abundant number, since it is smaller than the sum of its proper divisors (262716288).

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

146262912 is a wasteful number, since it uses less digits than its factorization.

146262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20071 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 146262912 is about 12093.9204561631. The cubic root of 146262912 is about 526.8796261743.

It can be divided in two parts, 1462629 and 12, that added together give a palindrome (1462641).

The spelling of 146262912 in words is "one hundred forty-six million, two hundred sixty-two thousand, nine hundred twelve".