146214528 has 128 divisors (see below), whose sum is σ = 410235840. Its totient is φ = 46080000.

The previous prime is 146214521. The next prime is 146214533. The reversal of 146214528 is 825412641.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (146214521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582403 + ... + 582653.

Almost surely, 2^146214528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205117920).

146214528 is an abundant number, since it is smaller than the sum of its proper divisors (264021312).

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

146214528 is a wasteful number, since it uses less digits than its factorization.

146214528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 146214528 is about 12091.9199468075. The cubic root of 146214528 is about 526.8215222321.

The spelling of 146214528 in words is "one hundred forty-six million, two hundred fourteen thousand, five hundred twenty-eight".