129141900331600 has 360 divisors, whose sum is σ = 337604514839592. Its totient is φ = 47450868940800.

The previous prime is 129141900331583. The next prime is 129141900331643. The reversal of 129141900331600 is 6133009141921.

It can be written as a sum of positive squares in 36 ways, for example, as 104855060495376 + 24286839836224 = 10239876^2 + 4928168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37356637072 + ... + 37356640528.

Almost surely, 2^{129141900331600} is an apocalyptic number.

129141900331600 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 129141900331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168802257419796).

129141900331600 is an abundant number, since it is smaller than the sum of its proper divisors (208462614507992).

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

129141900331600 is a wasteful number, since it uses less digits than its factorization.

129141900331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 129141900331600 in words is "one hundred twenty-nine trillion, one hundred forty-one billion, nine hundred million, three hundred thirty-one thousand, six hundred".