129013145856 has 243 divisors, whose sum is σ = 433112751981. Its totient is φ = 36826417152.

The previous prime is 129013145827. The next prime is 129013145861. The reversal of 129013145856 is 658541310921.

It is a happy number.

The square root of 129013145856 is 359184.

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

129013145856 is a `hidden beast` number, since 12 + 9 + 0 + 131 + 458 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60327219456 + 68685926400 = 245616^2 + 262080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120685290 + ... + 120686358.

Almost surely, 2^129013145856 is an apocalyptic number.

129013145856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129013145856 is the 359184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129013145856

129013145856 is an abundant number, since it is smaller than the sum of its proper divisors (304099606125).

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

129013145856 is an frugal number, since it uses more digits than its factorization.

129013145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 129013145856 in words is "one hundred twenty-nine billion, thirteen million, one hundred forty-five thousand, eight hundred fifty-six".