146344416 has 48 divisors (see below), whose sum is σ = 393534288. Its totient is φ = 47590400.

The previous prime is 146344409. The next prime is 146344421. The reversal of 146344416 is 614443641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14655 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (8198631).

Almost surely, 2^146344416 is an apocalyptic number.

146344416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146344416 is an abundant number, since it is smaller than the sum of its proper divisors (247189872).

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

146344416 is a wasteful number, since it uses less digits than its factorization.

146344416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37235 (or 37227 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 146344416 is about 12097.2896137937. The cubic root of 146344416 is about 526.9774746819.

The spelling of 146344416 in words is "one hundred forty-six million, three hundred forty-four thousand, four hundred sixteen".