129414096 has 90 divisors (see below), whose sum is σ = 421334082. Its totient is φ = 36973440.

The previous prime is 129414091. The next prime is 129414101. The reversal of 129414096 is 690414921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129414091) and next prime (129414101).

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 44036496 = 9240^2 + 6636^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 129414096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129414091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2115 + ... + 16226.

Almost surely, 2^129414096 is an apocalyptic number.

129414096 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 129414096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210667041).

129414096 is an abundant number, since it is smaller than the sum of its proper divisors (291919986).

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

129414096 is a wasteful number, since it uses less digits than its factorization.

129414096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369 (or 18353 counting only the distinct ones).

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

The square root of 129414096 is about 11376.0316455256. The cubic root of 129414096 is about 505.8175119304.

The spelling of 129414096 in words is "one hundred twenty-nine million, four hundred fourteen thousand, ninety-six".