135405259746624 has 168 divisors, whose sum is σ = 443624618959808. Its totient is φ = 38681553991680.

The previous prime is 135405259746569. The next prime is 135405259746629. The reversal of 135405259746624 is 426647952504531.

135405259746624 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 0 + 525 + 9 + 7 + 46 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135405259746629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25128399 + ... + 30037425.

Almost surely, 2^{135405259746624} is an apocalyptic number.

135405259746624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135405259746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221812309479904).

135405259746624 is an abundant number, since it is smaller than the sum of its proper divisors (308219359213184).

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

135405259746624 is a wasteful number, since it uses less digits than its factorization.

135405259746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915893 (or 4915880 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 135405259746624 in words is "one hundred thirty-five trillion, four hundred five billion, two hundred fifty-nine million, seven hundred forty-six thousand, six hundred twenty-four".