129983616 has 224 divisors, whose sum is σ = 445944000. Its totient is φ = 36951552.

The previous prime is 129983593. The next prime is 129983639. The reversal of 129983616 is 616389921.

It is a happy number.

129983616 is a `hidden beast` number, since 1 + 29 + 9 + 8 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (129983593) and next prime (129983639).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653085 + ... + 653283.

Almost surely, 2^129983616 is an apocalyptic number.

129983616 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 129983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222972000).

129983616 is an abundant number, since it is smaller than the sum of its proper divisors (315960384).

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

129983616 is an frugal number, since it uses more digits than its factorization.

129983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 129983616 is about 11401.0357424227. The cubic root of 129983616 is about 506.5584194728.

The spelling of 129983616 in words is "one hundred twenty-nine million, nine hundred eighty-three thousand, six hundred sixteen".