129917760 has 112 divisors (see below), whose sum is σ = 471440256. Its totient is φ = 29693952.

The previous prime is 129917759. The next prime is 129917761. The reversal of 129917760 is 67719921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129917759) and next prime (129917761).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129917761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (4209288).

Almost surely, 2^129917760 is an apocalyptic number.

129917760 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 129917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235720128).

129917760 is an abundant number, since it is smaller than the sum of its proper divisors (341522496).

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

129917760 is a wasteful number, since it uses less digits than its factorization.

129917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 129917760 is about 11398.1472178596. The cubic root of 129917760 is about 506.4728560051.

The spelling of 129917760 in words is "one hundred twenty-nine million, nine hundred seventeen thousand, seven hundred sixty".