135115776 has 154 divisors (see below), whose sum is σ = 407201522. Its totient is φ = 44789760.

The previous prime is 135115703. The next prime is 135115789. The reversal of 135115776 is 677511531.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 60466176 = 8640^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135115776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746406 + ... + 746586.

Almost surely, 2^135115776 is an apocalyptic number.

135115776 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 135115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203600761).

135115776 is an abundant number, since it is smaller than the sum of its proper divisors (272085746).

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

135115776 is an frugal number, since it uses more digits than its factorization.

135115776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 135115776 is about 11623.9311766717. The cubic root of 135115776 is about 513.1393896385.

The spelling of 135115776 in words is "one hundred thirty-five million, one hundred fifteen thousand, seven hundred seventy-six".