129537450 has 288 divisors, whose sum is σ = 438721920. Its totient is φ = 26726400.

The previous prime is 129537427. The next prime is 129537451. The reversal of 129537450 is 54735921.

It is not an unprimeable number, because it can be changed into a prime (129537451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2195521 + ... + 2195579.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^129537450 is an apocalyptic number.

129537450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129537450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

129537450 is an abundant number, since it is smaller than the sum of its proper divisors (309184470).

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

129537450 is a wasteful number, since it uses less digits than its factorization.

129537450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 129537450 is about 11381.4520163290. The cubic root of 129537450 is about 505.9781713987.

The spelling of 129537450 in words is "one hundred twenty-nine million, five hundred thirty-seven thousand, four hundred fifty".