129054332160 has 1080 divisors, whose sum is σ = 522735597384. Its totient is φ = 30218158080.

The previous prime is 129054332123. The next prime is 129054332167. The reversal of 129054332160 is 61233450921.

129054332160 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 5 + 433 + 216 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5802782976 + 123251549184 = 76176^2 + 351072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×129054332160² (a number of 23 digits) contains 22 as substring.

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 (129054332167) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 713007270 + ... + 713007450.

Almost surely, 2^129054332160 is an apocalyptic number.

129054332160 is a gapful number since it is divisible by the number (10) 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 129054332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261367798692).

129054332160 is an abundant number, since it is smaller than the sum of its proper divisors (393681265224).

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

129054332160 is a wasteful number, since it uses less digits than its factorization.

129054332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 129054332160 in words is "one hundred twenty-nine billion, fifty-four million, three hundred thirty-two thousand, one hundred sixty".