130577670 has 160 divisors (see below), whose sum is σ = 377194752. Its totient is φ = 32332608.

The previous prime is 130577669. The next prime is 130577677. The reversal of 130577670 is 76775031.

130577670 is a `hidden beast` number, since 13 + 0 + 577 + 6 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130577677) 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 79 ways as a sum of consecutive naturals, for example, 801009 + ... + 801171.

Almost surely, 2^130577670 is an apocalyptic number.

130577670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130577670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188597376).

130577670 is an abundant number, since it is smaller than the sum of its proper divisors (246617082).

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

130577670 is a wasteful number, since it uses less digits than its factorization.

130577670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 130577670 is about 11427.0586766674. The cubic root of 130577670 is about 507.3289416781.

The spelling of 130577670 in words is "one hundred thirty million, five hundred seventy-seven thousand, six hundred seventy".