146939616 has 96 divisors (see below), whose sum is σ = 451180800. Its totient is φ = 46396800.

The previous prime is 146939609. The next prime is 146939621. The reversal of 146939616 is 616939641.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 11941 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (4699800).

Almost surely, 2^146939616 is an apocalyptic number.

146939616 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 146939616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225590400).

146939616 is an abundant number, since it is smaller than the sum of its proper divisors (304241184).

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

146939616 is a wasteful number, since it uses less digits than its factorization.

146939616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989 (or 8975 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 146939616 is about 12121.8652030123. The cubic root of 146939616 is about 527.6909348263.

The spelling of 146939616 in words is "one hundred forty-six million, nine hundred thirty-nine thousand, six hundred sixteen".