135529583616 has 1056 divisors, whose sum is σ = 515018649600. Its totient is φ = 34685190144.

The previous prime is 135529583597. The next prime is 135529583617. The reversal of 135529583616 is 616385925531.

135529583616 is a `hidden beast` number, since 1 + 3 + 5 + 52 + 9 + 583 + 6 + 1 + 6 = 666.

It is a super-3 number, since 3×135529583616³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135529583617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681053085 + ... + 681053283.

Almost surely, 2^135529583616 is an apocalyptic number.

135529583616 is a gapful number since it is divisible by the number (16) 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 135529583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509324800).

135529583616 is an abundant number, since it is smaller than the sum of its proper divisors (379489065984).

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

135529583616 is a wasteful number, since it uses less digits than its factorization.

135529583616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 135529583616 in words is "one hundred thirty-five billion, five hundred twenty-nine million, five hundred eighty-three thousand, six hundred sixteen".