135895715020800 has 3240 divisors, whose sum is σ = 601731418193136. Its totient is φ = 30339508469760.

The previous prime is 135895715020799. The next prime is 135895715020801. The reversal of 135895715020800 is 8020517598531.

135895715020800 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 9 + 57 + 1 + 502 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135895715020799) and next prime (135895715020801).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×135895715020800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135895715020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3160365465579 + ... + 3160365465621.

Almost surely, 2^{135895715020800} is an apocalyptic number.

135895715020800 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 135895715020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300865709096568).

135895715020800 is an abundant number, since it is smaller than the sum of its proper divisors (465835703172336).

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

135895715020800 is an frugal number, since it uses more digits than its factorization.

135895715020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 135895715020800 in words is "one hundred thirty-five trillion, eight hundred ninety-five billion, seven hundred fifteen million, twenty thousand, eight hundred".