135877320 has 144 divisors (see below), whose sum is σ = 458071380. Its totient is φ = 34905600.

The previous prime is 135877297. The next prime is 135877327. The reversal of 135877320 is 23778531.

135877320 is a `hidden beast` number, since 1 + 3 + 587 + 73 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 135629316 + 248004 = 11646^2 + 498^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135877327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1345270 + ... + 1345370.

Almost surely, 2^135877320 is an apocalyptic number.

135877320 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 135877320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229035690).

135877320 is an abundant number, since it is smaller than the sum of its proper divisors (322194060).

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

135877320 is a wasteful number, since it uses less digits than its factorization.

135877320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135877320 is about 11656.6427413728. The cubic root of 135877320 is about 514.1016417968.

The spelling of 135877320 in words is "one hundred thirty-five million, eight hundred seventy-seven thousand, three hundred twenty".