135991064976840 has 192 divisors, whose sum is σ = 456306282432000. Its totient is φ = 35088453504000.

The previous prime is 135991064976763. The next prime is 135991064976853. The reversal of 135991064976840 is 48679460199531.

It is a happy number.

135991064976840 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 91 + 0 + 6 + 497 + 6 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64255836 + ... + 66338484.

It is an arithmetic number, because the mean of its divisors is an integer number (2376595221000).

Almost surely, 2^{135991064976840} is an apocalyptic number.

135991064976840 is a gapful number since it is divisible by the number (10) 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 135991064976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228153141216000).

135991064976840 is an abundant number, since it is smaller than the sum of its proper divisors (320315217455160).

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

135991064976840 is a wasteful number, since it uses less digits than its factorization.

135991064976840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088548 (or 2088541 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 135991064976840 in words is "one hundred thirty-five trillion, nine hundred ninety-one billion, sixty-four million, nine hundred seventy-six thousand, eight hundred forty".