129153403020960 has 144 divisors (see below), whose sum is σ = 452647771450056. Its totient is φ = 33510072121344.

The previous prime is 129153403020883. The next prime is 129153403020979. The reversal of 129153403020960 is 69020304351921.

129153403020960 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 534 + 0 + 3 + 0 + 20 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127767122841744 + 1386280179216 = 11303412^2 + 1177404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211971899 + ... + 1212078458.

Almost surely, 2^{129153403020960} is an apocalyptic number.

129153403020960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129153403020960 is an abundant number, since it is smaller than the sum of its proper divisors (323494368429096).

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

129153403020960 is a wasteful number, since it uses less digits than its factorization.

129153403020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424050415 (or 2424050404 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 129153403020960 in words is "one hundred twenty-nine trillion, one hundred fifty-three billion, four hundred three million, twenty thousand, nine hundred sixty".