129506496 has 112 divisors (see below), whose sum is σ = 394630656. Its totient is φ = 36716544.

The previous prime is 129506483. The next prime is 129506519. The reversal of 129506496 is 694605921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224160 + ... + 224736.

It is an arithmetic number, because the mean of its divisors is an integer number (3523488).

Almost surely, 2^129506496 is an apocalyptic number.

129506496 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 129506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197315328).

129506496 is an abundant number, since it is smaller than the sum of its proper divisors (265124160).

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

129506496 is a wasteful number, since it uses less digits than its factorization.

129506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 129506496 is about 11380.0920910158. The cubic root of 129506496 is about 505.9378656904.

The spelling of 129506496 in words is "one hundred twenty-nine million, five hundred six thousand, four hundred ninety-six".