130577440 has 192 divisors, whose sum is σ = 380588544. Its totient is φ = 41361408.

The previous prime is 130577413. The next prime is 130577471. The reversal of 130577440 is 44775031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953052 + ... + 953188.

It is an arithmetic number, because the mean of its divisors is an integer number (1982232).

Almost surely, 2^130577440 is an apocalyptic number.

130577440 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 130577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294272).

130577440 is an abundant number, since it is smaller than the sum of its proper divisors (250011104).

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

130577440 is a wasteful number, since it uses less digits than its factorization.

130577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 130577440 is about 11427.0486128309. The cubic root of 130577440 is about 507.3286438075.

The spelling of 130577440 in words is "one hundred thirty million, five hundred seventy-seven thousand, four hundred forty".