129777648 has 320 divisors, whose sum is σ = 468636672. Its totient is φ = 29859840.

The previous prime is 129777629. The next prime is 129777649. The reversal of 129777648 is 846777921.

It is a self number, because there is not a number n which added to its sum of digits gives 129777648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129777649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777740 + ... + 1777812.

Almost surely, 2^129777648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129777648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234318336).

129777648 is an abundant number, since it is smaller than the sum of its proper divisors (338859024).

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

129777648 is a wasteful number, since it uses less digits than its factorization.

129777648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 129777648 is about 11391.9992977528. Note that the first 3 decimals coincide. The cubic root of 129777648 is about 506.2907191146.

It can be divided in two parts, 129 and 777648, that added together give a palindrome (777777).

The spelling of 129777648 in words is "one hundred twenty-nine million, seven hundred seventy-seven thousand, six hundred forty-eight".