129493800 has 72 divisors (see below), whose sum is σ = 434889390. Its totient is φ = 34531200.

The previous prime is 129493783. The next prime is 129493801. The reversal of 129493800 is 8394921.

It can be written as a sum of positive squares in 3 ways, for example, as 73513476 + 55980324 = 8574^2 + 7482^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (129493801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34171 + ... + 37770.

Almost surely, 2^129493800 is an apocalyptic number.

129493800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129493800 is an abundant number, since it is smaller than the sum of its proper divisors (305395590).

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

129493800 is a wasteful number, since it uses less digits than its factorization.

129493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71963 (or 71951 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129493800 is about 11379.5342611198. The cubic root of 129493800 is about 505.9213321644.

The spelling of 129493800 in words is "one hundred twenty-nine million, four hundred ninety-three thousand, eight hundred".