129146052640 has 192 divisors, whose sum is σ = 348691392000. Its totient is φ = 44767457280.

The previous prime is 129146052631. The next prime is 129146052647. The reversal of 129146052640 is 46250641921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 129146052593 and 129146052602.

It is not an unprimeable number, because it can be changed into a prime (129146052647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4016146 + ... + 4048174.

It is an arithmetic number, because the mean of its divisors is an integer number (1816101000).

Almost surely, 2^129146052640 is an apocalyptic number.

129146052640 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 129146052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174345696000).

129146052640 is an abundant number, since it is smaller than the sum of its proper divisors (219545339360).

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

129146052640 is a wasteful number, since it uses less digits than its factorization.

129146052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32163 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 129146052640 in words is "one hundred twenty-nine billion, one hundred forty-six million, fifty-two thousand, six hundred forty".