129051648 has 264 divisors, whose sum is σ = 434291520. Its totient is φ = 36495360.

The previous prime is 129051647. The next prime is 129051673. The reversal of 129051648 is 846150921.

129051648 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 5 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129051647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926111 + ... + 1926177.

Almost surely, 2^129051648 is an apocalyptic number.

129051648 is a gapful number since it is divisible by the number (18) 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 129051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145760).

129051648 is an abundant number, since it is smaller than the sum of its proper divisors (305239872).

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

129051648 is a wasteful number, since it uses less digits than its factorization.

129051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129051648 is about 11360.0901404874. The cubic root of 129051648 is about 505.3448587181.

The spelling of 129051648 in words is "one hundred twenty-nine million, fifty-one thousand, six hundred forty-eight".