129142810038 has 128 divisors (see below), whose sum is σ = 308883456000. Its totient is φ = 35559820800.

The previous prime is 129142810037. The next prime is 129142810073. The reversal of 129142810038 is 830018241921.

It is a super-2 number, since 2×129142810038² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129142809978 and 129142810005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129142810037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4378063 + ... + 4407461.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152000).

Almost surely, 2^129142810038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129142810038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728000).

129142810038 is an abundant number, since it is smaller than the sum of its proper divisors (179740645962).

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

129142810038 is a wasteful number, since it uses less digits than its factorization.

129142810038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29578.

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 129142810038 in words is "one hundred twenty-nine billion, one hundred forty-two million, eight hundred ten thousand, thirty-eight".