130429760 has 56 divisors (see below), whose sum is σ = 312313320. Its totient is φ = 51881984.

The previous prime is 130429753. The next prime is 130429777. The reversal of 130429760 is 67924031.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 105349696 = 5008^2 + 10264^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62006 + ... + 64074.

Almost surely, 2^130429760 is an apocalyptic number.

130429760 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 130429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156156660).

130429760 is an abundant number, since it is smaller than the sum of its proper divisors (181883560).

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

130429760 is a wasteful number, since it uses less digits than its factorization.

130429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 130429760 is about 11420.5849237244. The cubic root of 130429760 is about 507.1373127552.

The spelling of 130429760 in words is "one hundred thirty million, four hundred twenty-nine thousand, seven hundred sixty".