135626336544 has 96 divisors (see below), whose sum is σ = 357241933440. Its totient is φ = 45053798400.

The previous prime is 135626336539. The next prime is 135626336551. The reversal of 135626336544 is 445633626531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 135626336493 and 135626336502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41461629 + ... + 41464899.

It is an arithmetic number, because the mean of its divisors is an integer number (3721270140).

Almost surely, 2^135626336544 is an apocalyptic number.

It is an amenable number.

135626336544 is an abundant number, since it is smaller than the sum of its proper divisors (221615596896).

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

135626336544 is a wasteful number, since it uses less digits than its factorization.

135626336544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4626 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 135626336544 in words is "one hundred thirty-five billion, six hundred twenty-six million, three hundred thirty-six thousand, five hundred forty-four".