135779123457 has 48 divisors (see below), whose sum is σ = 199390885200. Its totient is φ = 89026560000.

The previous prime is 135779123453. The next prime is 135779123503. The reversal of 135779123457 is 754321977531.

135779123457 is a `hidden beast` number, since 1 + 3 + 577 + 9 + 1 + 23 + 45 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5458845456 + 130320278001 = 73884^2 + 360999^2 .

It is not a de Polignac number, because 135779123457 - 2² = 135779123453 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135779123453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113054457 + ... + 113055657.

It is an arithmetic number, because the mean of its divisors is an integer number (4153976775).

Almost surely, 2^135779123457 is an apocalyptic number.

It is an amenable number.

135779123457 is a deficient number, since it is larger than the sum of its proper divisors (63611761743).

135779123457 is a wasteful number, since it uses less digits than its factorization.

135779123457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2031 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 135779123457 in words is "one hundred thirty-five billion, seven hundred seventy-nine million, one hundred twenty-three thousand, four hundred fifty-seven".