135163776 has 96 divisors (see below), whose sum is σ = 394770600. Its totient is φ = 40944640.

The previous prime is 135163771. The next prime is 135163783. The reversal of 135163776 is 677361531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135163771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45010 + ... + 47918.

Almost surely, 2^135163776 is an apocalyptic number.

135163776 is a gapful number since it is divisible by the number (16) 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 135163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197385300).

135163776 is an abundant number, since it is smaller than the sum of its proper divisors (259606824).

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

135163776 is a wasteful number, since it uses less digits than its factorization.

135163776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2925 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 135163776 is about 11625.9956992939. The cubic root of 135163776 is about 513.2001468531.

The spelling of 135163776 in words is "one hundred thirty-five million, one hundred sixty-three thousand, seven hundred seventy-six".