135626314131 has 96 divisors (see below), whose sum is σ = 246910809600. Its totient is φ = 69690240000.

The previous prime is 135626314129. The next prime is 135626314171. The reversal of 135626314131 is 131413626531.

135626314131 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 631 + 4 + 13 + 1 = 666.

It is not a de Polignac number, because 135626314131 - 2¹ = 135626314129 is a prime.

It is a super-3 number, since 3×135626314131³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135626314171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25914891 + ... + 25920123.

It is an arithmetic number, because the mean of its divisors is an integer number (2571987600).

Almost surely, 2^135626314131 is an apocalyptic number.

135626314131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135626314131 is a deficient number, since it is larger than the sum of its proper divisors (111284495469).

135626314131 is a wasteful number, since it uses less digits than its factorization.

135626314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5654 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 135626314131 in words is "one hundred thirty-five billion, six hundred twenty-six million, three hundred fourteen thousand, one hundred thirty-one".