129732100 has 81 divisors (see below), whose sum is σ = 303582783. Its totient is φ = 48111360.

The previous prime is 129732073. The next prime is 129732139. The reversal of 129732100 is 1237921.

The square root of 129732100 is 11390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3034564 + 126697536 = 1742^2 + 11256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1936267 + ... + 1936333.

Almost surely, 2^129732100 is an apocalyptic number.

129732100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129732100 is the 11390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129732100

129732100 is an abundant number, since it is smaller than the sum of its proper divisors (173850683).

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

129732100 is a wasteful number, since it uses less digits than its factorization.

129732100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 129732100 is about 506.2314813121.

Multiplying 129732100 by its sum of digits (25), we get a square (3243302500 = 56950²).

129732100 divided by its sum of digits (25) gives a square (5189284 = 2278²).

The spelling of 129732100 in words is "one hundred twenty-nine million, seven hundred thirty-two thousand, one hundred".