130907137 has 8 divisors (see below), whose sum is σ = 134257032. Its totient is φ = 127564800.

The previous prime is 130907113. The next prime is 130907149. The reversal of 130907137 is 731709031.

It can be written as a sum of positive squares in 4 ways, for example, as 51322896 + 79584241 = 7164^2 + 8921^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130907137 - 2¹⁵ = 130874369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130907099 and 130907108.

It is not an unprimeable number, because it can be changed into a prime (130907107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52953 + ... + 55369.

It is an arithmetic number, because the mean of its divisors is an integer number (16782129).

Almost surely, 2^130907137 is an apocalyptic number.

It is an amenable number.

130907137 is a deficient number, since it is larger than the sum of its proper divisors (3349895).

130907137 is a wasteful number, since it uses less digits than its factorization.

130907137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 130907137 is about 11441.4656840809. The cubic root of 130907137 is about 507.7552722577.

It can be divided in two parts, 130907 and 137, that added together give a square (131044 = 362²).

The spelling of 130907137 in words is "one hundred thirty million, nine hundred seven thousand, one hundred thirty-seven".