135631354656 has 384 divisors, whose sum is σ = 435773882880. Its totient is φ = 36112269312.

The previous prime is 135631354633. The next prime is 135631354673. The reversal of 135631354656 is 656453136531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98783986 + ... + 98785358.

It is an arithmetic number, because the mean of its divisors is an integer number (1134827820).

Almost surely, 2^135631354656 is an apocalyptic number.

135631354656 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 135631354656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217886941440).

135631354656 is an abundant number, since it is smaller than the sum of its proper divisors (300142528224).

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

135631354656 is a wasteful number, since it uses less digits than its factorization.

135631354656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 48.

The spelling of 135631354656 in words is "one hundred thirty-five billion, six hundred thirty-one million, three hundred fifty-four thousand, six hundred fifty-six".