145014912 has 192 divisors, whose sum is σ = 487968000. Its totient is φ = 41319936.

The previous prime is 145014901. The next prime is 145014917. The reversal of 145014912 is 219410541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145014917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394953 + ... + 395319.

It is an arithmetic number, because the mean of its divisors is an integer number (2541500).

Almost surely, 2^145014912 is an apocalyptic number.

145014912 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 145014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243984000).

145014912 is an abundant number, since it is smaller than the sum of its proper divisors (342953088).

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

145014912 is an equidigital number, since it uses as much as digits as its factorization.

145014912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145014912 is about 12042.2137499714. The cubic root of 145014912 is about 525.3767961727.

The spelling of 145014912 in words is "one hundred forty-five million, fourteen thousand, nine hundred twelve".