2813156137 has 16 divisors (see below), whose sum is σ = 3089808000. Its totient is φ = 2540039040.

The previous prime is 2813156117. The next prime is 2813156173. The reversal of 2813156137 is 7316513182.

It is not a de Polignac number, because 2813156137 - 2⁷ = 2813156009 is a prime.

It is a super-3 number, since 3×2813156137³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2813156096 and 2813156105.

It is not an unprimeable number, because it can be changed into a prime (2813156117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181789 + ... + 2183077.

It is an arithmetic number, because the mean of its divisors is an integer number (193113000).

Almost surely, 2^2813156137 is an apocalyptic number.

It is an amenable number.

2813156137 is a deficient number, since it is larger than the sum of its proper divisors (276651863).

2813156137 is a wasteful number, since it uses less digits than its factorization.

2813156137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496.

The product of its digits is 30240, while the sum is 37.

The square root of 2813156137 is about 53039.1943471995. The cubic root of 2813156137 is about 1411.6638034189.

The spelling of 2813156137 in words is "two billion, eight hundred thirteen million, one hundred fifty-six thousand, one hundred thirty-seven".