129545285776 has 135 divisors (see below), whose sum is σ = 274135253049. Its totient is φ = 59292440064.

The previous prime is 129545285711. The next prime is 129545285777. The reversal of 129545285776 is 677582545921.

It is a happy number.

The square root of 129545285776 is 359924.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100857056400 + 28688229376 = 317580^2 + 169376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129545285777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1639813705 + ... + 1639813783.

Almost surely, 2^129545285776 is an apocalyptic number.

129545285776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129545285776 is the 359924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129545285776

129545285776 is an abundant number, since it is smaller than the sum of its proper divisors (144589967273).

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

129545285776 is an frugal number, since it uses more digits than its factorization.

129545285776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 61.

The spelling of 129545285776 in words is "one hundred twenty-nine billion, five hundred forty-five million, two hundred eighty-five thousand, seven hundred seventy-six".