135513351023544 has 192 divisors, whose sum is σ = 409911953724000. Its totient is φ = 41693781805056.

The previous prime is 135513351023537. The next prime is 135513351023549. The reversal of 135513351023544 is 445320153315531.

135513351023544 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 33 + 51 + 0 + 23 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135513351023544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135513351023549) 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, 420592492 + ... + 420914564.

Almost surely, 2^{135513351023544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135513351023544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204955976862000).

135513351023544 is an abundant number, since it is smaller than the sum of its proper divisors (274398602700456).

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

135513351023544 is a wasteful number, since it uses less digits than its factorization.

135513351023544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338756 (or 338740 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 135513351023544 in words is "one hundred thirty-five trillion, five hundred thirteen billion, three hundred fifty-one million, twenty-three thousand, five hundred forty-four".