135883701504 has 216 divisors, whose sum is σ = 421640403912. Its totient is φ = 41930588160.

The previous prime is 135883701463. The next prime is 135883701509. The reversal of 135883701504 is 405107388531.

It is a happy number.

135883701504 is a `hidden beast` number, since 1 + 35 + 88 + 37 + 0 + 1 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200505600 + 135683195904 = 14160^2 + 368352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135883701504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135883701509) 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, 2360812 + ... + 2417684.

It is an arithmetic number, because the mean of its divisors is an integer number (1952038907).

Almost surely, 2^135883701504 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 135883701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210820201956).

135883701504 is an abundant number, since it is smaller than the sum of its proper divisors (285756702408).

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

135883701504 is a wasteful number, since it uses less digits than its factorization.

135883701504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56973 (or 56956 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 135883701504 in words is "one hundred thirty-five billion, eight hundred eighty-three million, seven hundred one thousand, five hundred four".