129537425128320 has 2560 divisors, whose sum is σ = 565751355840000. Its totient is φ = 27836696494080.

The previous prime is 129537425128297. The next prime is 129537425128343. The reversal of 129537425128320 is 23821524735921.

129537425128320 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 3 + 7 + 42 + 512 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129537425128297) and next prime (129537425128343).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32969564116 + ... + 32969568044.

It is an arithmetic number, because the mean of its divisors is an integer number (220996623375).

Almost surely, 2^{129537425128320} is an apocalyptic number.

129537425128320 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 129537425128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282875677920000).

129537425128320 is an abundant number, since it is smaller than the sum of its proper divisors (436213930711680).

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

129537425128320 is a wasteful number, since it uses less digits than its factorization.

129537425128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 129537425128320 in words is "one hundred twenty-nine trillion, five hundred thirty-seven billion, four hundred twenty-five million, one hundred twenty-eight thousand, three hundred twenty".