135831967488 has 432 divisors, whose sum is σ = 454572518400. Its totient is φ = 38209167360.

The previous prime is 135831967433. The next prime is 135831967489. The reversal of 135831967488 is 884769138531.

135831967488 is a `hidden beast` number, since 1 + 3 + 5 + 83 + 19 + 67 + 488 = 666.

It is a super-2 number, since 2×135831967488² (a number of 23 digits) contains 22 as substring.

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 (135831967489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504951418 + ... + 504951686.

It is an arithmetic number, because the mean of its divisors is an integer number (1052251200).

Almost surely, 2^135831967488 is an apocalyptic number.

135831967488 is a gapful number since it is divisible by the number (18) 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 135831967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227286259200).

135831967488 is an abundant number, since it is smaller than the sum of its proper divisors (318740550912).

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

135831967488 is a wasteful number, since it uses less digits than its factorization.

135831967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 135831967488 in words is "one hundred thirty-five billion, eight hundred thirty-one million, nine hundred sixty-seven thousand, four hundred eighty-eight".