129487400 has 144 divisors (see below), whose sum is σ = 356969340. Its totient is φ = 43545600.

The previous prime is 129487361. The next prime is 129487411. The reversal of 129487400 is 4784921.

It can be written as a sum of positive squares in 6 ways, for example, as 14182756 + 115304644 = 3766^2 + 10738^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715310 + ... + 715490.

Almost surely, 2^129487400 is an apocalyptic number.

129487400 is a gapful number since it is divisible by the number (10) 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 129487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178484670).

129487400 is an abundant number, since it is smaller than the sum of its proper divisors (227481940).

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

129487400 is a wasteful number, since it uses less digits than its factorization.

129487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 129487400 is about 11379.2530510574. The cubic root of 129487400 is about 505.9129972741.

The spelling of 129487400 in words is "one hundred twenty-nine million, four hundred eighty-seven thousand, four hundred".