129090510900 has 216 divisors, whose sum is σ = 441271201280. Its totient is φ = 31373671680.

The previous prime is 129090510877. The next prime is 129090510919. The reversal of 129090510900 is 9015090921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 854469 + ... + 994131.

Almost surely, 2^129090510900 is an apocalyptic number.

129090510900 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 129090510900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220635600640).

129090510900 is an abundant number, since it is smaller than the sum of its proper divisors (312180690380).

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

129090510900 is a wasteful number, since it uses less digits than its factorization.

129090510900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139775 (or 139765 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 129090510900 in words is "one hundred twenty-nine billion, ninety million, five hundred ten thousand, nine hundred".