135579926919400 has 48 divisors (see below), whose sum is σ = 315224311099500. Its totient is φ = 54231801991680.

The previous prime is 135579926919347. The next prime is 135579926919407. The reversal of 135579926919400 is 4919629975531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26908434027556 + 108671492891844 = 5187334^2 + 10424562^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135579926919400.

It is not an unprimeable number, because it can be changed into a prime (135579926919407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78232674 + ... + 79946926.

Almost surely, 2^{135579926919400} is an apocalyptic number.

135579926919400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135579926919400 is an abundant number, since it is smaller than the sum of its proper divisors (179644384180100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135579926919400 is a wasteful number, since it uses less digits than its factorization.

135579926919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109718 (or 2109709 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 70.

The spelling of 135579926919400 in words is "one hundred thirty-five trillion, five hundred seventy-nine billion, nine hundred twenty-six million, nine hundred nineteen thousand, four hundred".