129090940 has 96 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 43845120.

The previous prime is 129090901. The next prime is 129090953. The reversal of 129090940 is 49090921.

It is a junction number, because it is equal to n+sod(n) for n = 129090896 and 129090905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371847 + ... + 372193.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2^129090940 is an apocalyptic number.

129090940 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 129090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

129090940 is an abundant number, since it is smaller than the sum of its proper divisors (186614660).

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

129090940 is a wasteful number, since it uses less digits than its factorization.

129090940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 129090940 is about 11361.8193965579. The cubic root of 129090940 is about 505.3961404999.

The spelling of 129090940 in words is "one hundred twenty-nine million, ninety thousand, nine hundred forty".