135612481536 has 405 divisors, whose sum is σ = 459068520729. Its totient is φ = 38463602688.

The previous prime is 135612481523. The next prime is 135612481547. The reversal of 135612481536 is 635184216531.

The square root of 135612481536 is 368256.

It is a perfect power (a square), and thus also a powerful number.

135612481536 is a `hidden beast` number, since 1 + 3 + 561 + 2 + 4 + 81 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79659417600 + 55953063936 = 282240^2 + 236544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135612481491 and 135612481500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 989872060 + ... + 989872196.

Almost surely, 2^135612481536 is an apocalyptic number.

135612481536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135612481536 is the 368256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135612481536

135612481536 is an abundant number, since it is smaller than the sum of its proper divisors (323456039193).

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

135612481536 is an frugal number, since it uses more digits than its factorization.

135612481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 149 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 135612481536 in words is "one hundred thirty-five billion, six hundred twelve million, four hundred eighty-one thousand, five hundred thirty-six".