135855740160 has 648 divisors, whose sum is σ = 558070670976. Its totient is φ = 31039303680.

The previous prime is 135855740143. The next prime is 135855740173. The reversal of 135855740160 is 61047558531.

135855740160 is a `hidden beast` number, since 1 + 3 + 58 + 557 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58785405 + ... + 58787715.

Almost surely, 2^135855740160 is an apocalyptic number.

135855740160 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 135855740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279035335488).

135855740160 is an abundant number, since it is smaller than the sum of its proper divisors (422214930816).

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

135855740160 is an frugal number, since it uses more digits than its factorization.

135855740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 135855740160 in words is "one hundred thirty-five billion, eight hundred fifty-five million, seven hundred forty thousand, one hundred sixty".