130001760 has 240 divisors, whose sum is σ = 524706336. Its totient is φ = 29693952.

The previous prime is 130001749. The next prime is 130001777. The reversal of 130001760 is 67100031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90004 + ... + 91436.

Almost surely, 2^130001760 is an apocalyptic number.

130001760 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 130001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262353168).

130001760 is an abundant number, since it is smaller than the sum of its proper divisors (394704576).

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

130001760 is a wasteful number, since it uses less digits than its factorization.

130001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130001760 is about 11401.8314318359. The cubic root of 130001760 is about 506.5819880030.

Adding to 130001760 its reverse (67100031), we get a palindrome (197101791).

The spelling of 130001760 in words is "one hundred thirty million, one thousand, seven hundred sixty".