126658641135 has 96 divisors (see below), whose sum is σ = 226308446208. Its totient is φ = 60429957120.

The previous prime is 126658641107. The next prime is 126658641157. The reversal of 126658641135 is 531146856621.

It is not a de Polignac number, because 126658641135 - 2⁹ = 126658640623 is a prime.

It is a super-2 number, since 2×126658641135² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12266775 + ... + 12277095.

It is an arithmetic number, because the mean of its divisors is an integer number (2357379648).

Almost surely, 2^126658641135 is an apocalyptic number.

126658641135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126658641135 is a deficient number, since it is larger than the sum of its proper divisors (99649805073).

126658641135 is a wasteful number, since it uses less digits than its factorization.

126658641135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10492 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 126658641135 in words is "one hundred twenty-six billion, six hundred fifty-eight million, six hundred forty-one thousand, one hundred thirty-five".