146003616 has 144 divisors (see below), whose sum is σ = 479763648. Its totient is φ = 41625600.

The previous prime is 146003597. The next prime is 146003621. The reversal of 146003616 is 616300641.

146003616 is a `hidden beast` number, since 1 + 46 + 0 + 0 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 146003616.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52501 + ... + 55211.

It is an arithmetic number, because the mean of its divisors is an integer number (3331692).

Almost surely, 2^146003616 is an apocalyptic number.

146003616 is a gapful number since it is divisible by the number (16) 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 146003616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239881824).

146003616 is an abundant number, since it is smaller than the sum of its proper divisors (333760032).

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

146003616 is a wasteful number, since it uses less digits than its factorization.

146003616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 146003616 is about 12083.1956038128. The cubic root of 146003616 is about 526.5680899376.

The spelling of 146003616 in words is "one hundred forty-six million, three thousand, six hundred sixteen".