129540816 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 39260160.

The previous prime is 129540809. The next prime is 129540821. The reversal of 129540816 is 618045921.

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 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, 227380 + ... + 227948.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^129540816 is an apocalyptic number.

129540816 is a gapful number since it is divisible by the number (16) 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 129540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

129540816 is an abundant number, since it is smaller than the sum of its proper divisors (277575984).

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

129540816 is a wasteful number, since it uses less digits than its factorization.

129540816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129540816 is about 11381.5998875378. The cubic root of 129540816 is about 505.9825539351.

The spelling of 129540816 in words is "one hundred twenty-nine million, five hundred forty thousand, eight hundred sixteen".