130077441 has 48 divisors (see below), whose sum is σ = 216086400. Its totient is φ = 77208768.

The previous prime is 130077419. The next prime is 130077449. The reversal of 130077441 is 144770031.

It is not a de Polignac number, because 130077441 - 2⁶ = 130077377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130077449) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 131836 + ... + 132818.

It is an arithmetic number, because the mean of its divisors is an integer number (4501800).

Almost surely, 2^130077441 is an apocalyptic number.

It is an amenable number.

130077441 is a deficient number, since it is larger than the sum of its proper divisors (86008959).

130077441 is a wasteful number, since it uses less digits than its factorization.

130077441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 130077441 is about 11405.1497578945. The cubic root of 130077441 is about 506.6802717857.

The spelling of 130077441 in words is "one hundred thirty million, seventy-seven thousand, four hundred forty-one".