130414367137 has 16 divisors (see below), whose sum is σ = 141914298240. Its totient is φ = 119364763392.

The previous prime is 130414367131. The next prime is 130414367179. The reversal of 130414367137 is 731763414031.

It is a cyclic number.

It is not a de Polignac number, because 130414367137 - 2¹¹ = 130414365089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130414367137.

It is not an unprimeable number, because it can be changed into a prime (130414367131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222133 + ... + 556930.

It is an arithmetic number, because the mean of its divisors is an integer number (8869643640).

Almost surely, 2^130414367137 is an apocalyptic number.

130414367137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130414367137 is a deficient number, since it is larger than the sum of its proper divisors (11499931103).

130414367137 is a wasteful number, since it uses less digits than its factorization.

130414367137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779352.

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 130414367137 in words is "one hundred thirty billion, four hundred fourteen million, three hundred sixty-seven thousand, one hundred thirty-seven".