146489616 has 180 divisors, whose sum is σ = 513907212. Its totient is φ = 38610432.

The previous prime is 146489593. The next prime is 146489633. The reversal of 146489616 is 616984641.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 121088016 = 5040^2 + 11004^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90930 + ... + 92526.

Almost surely, 2^146489616 is an apocalyptic number.

146489616 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 146489616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256953606).

146489616 is an abundant number, since it is smaller than the sum of its proper divisors (367417596).

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

146489616 is a wasteful number, since it uses less digits than its factorization.

146489616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1622 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 146489616 is about 12103.2894702225. The cubic root of 146489616 is about 527.1517025732.

The spelling of 146489616 in words is "one hundred forty-six million, four hundred eighty-nine thousand, six hundred sixteen".