129306590 has 144 divisors (see below), whose sum is σ = 309597552. Its totient is φ = 38610432.

The previous prime is 129306589. The next prime is 129306599. The reversal of 129306590 is 95603921.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 129306590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129306599) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3007109 + ... + 3007151.

It is an arithmetic number, because the mean of its divisors is an integer number (2149983).

Almost surely, 2^129306590 is an apocalyptic number.

129306590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129306590 is an abundant number, since it is smaller than the sum of its proper divisors (180290962).

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

129306590 is a wasteful number, since it uses less digits than its factorization.

129306590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 129306590 is about 11371.3055538931. The cubic root of 129306590 is about 505.6774100309.

The spelling of 129306590 in words is "one hundred twenty-nine million, three hundred six thousand, five hundred ninety".