135995773771440 has 4320 divisors, whose sum is σ = 595970385454080. Its totient is φ = 27582463180800.

The previous prime is 135995773771357. The next prime is 135995773771469. The reversal of 135995773771440 is 44177377599531.

135995773771440 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 9 + 577 + 3 + 7 + 7 + 1 + 4 + 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 (31) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1270988539867 + ... + 1270988539973.

It is an arithmetic number, because the mean of its divisors is an integer number (137956107744).

Almost surely, 2^{135995773771440} is an apocalyptic number.

135995773771440 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 135995773771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297985192727040).

135995773771440 is an abundant number, since it is smaller than the sum of its proper divisors (459974611682640).

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

135995773771440 is a wasteful number, since it uses less digits than its factorization.

135995773771440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 700131600, while the sum is 72.

The spelling of 135995773771440 in words is "one hundred thirty-five trillion, nine hundred ninety-five billion, seven hundred seventy-three million, seven hundred seventy-one thousand, four hundred forty".