135086656950 has 576 divisors, whose sum is σ = 452340096000. Its totient is φ = 28805414400.

The previous prime is 135086656847. The next prime is 135086657003. The reversal of 135086656950 is 59656680531.

It is a happy number.

135086656950 is a `hidden beast` number, since 13 + 5 + 0 + 8 + 66 + 569 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214083135 + ... + 214083765.

Almost surely, 2^135086656950 is an apocalyptic number.

135086656950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135086656950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226170048000).

135086656950 is an abundant number, since it is smaller than the sum of its proper divisors (317253439050).

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

135086656950 is a wasteful number, since it uses less digits than its factorization.

135086656950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 740 counting only the distinct ones).

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

The spelling of 135086656950 in words is "one hundred thirty-five billion, eighty-six million, six hundred fifty-six thousand, nine hundred fifty".