130577760 has 72 divisors (see below), whose sum is σ = 445601520. Its totient is φ = 34820352.

The previous prime is 130577753. The next prime is 130577767. The reversal of 130577760 is 67775031.

130577760 is a `hidden beast` number, since 13 + 0 + 577 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130577753) and next prime (130577767).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130577767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43900 + ... + 46779.

It is an arithmetic number, because the mean of its divisors is an integer number (6188910).

Almost surely, 2^130577760 is an apocalyptic number.

130577760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130577760 is an abundant number, since it is smaller than the sum of its proper divisors (315023760).

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

130577760 is a wasteful number, since it uses less digits than its factorization.

130577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90700 (or 90689 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 130577760 is about 11427.0626146880. The cubic root of 130577760 is about 507.3290582360.

The spelling of 130577760 in words is "one hundred thirty million, five hundred seventy-seven thousand, seven hundred sixty".