135577260 has 384 divisors, whose sum is σ = 541900800. Its totient is φ = 27371520.

The previous prime is 135577259. The next prime is 135577297. The reversal of 135577260 is 62775531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1523296 + ... + 1523384.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^135577260 is an apocalyptic number.

135577260 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 135577260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

135577260 is an abundant number, since it is smaller than the sum of its proper divisors (406323540).

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

135577260 is a wasteful number, since it uses less digits than its factorization.

135577260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 135577260 is about 11643.7648550630. The cubic root of 135577260 is about 513.7229300032.

The spelling of 135577260 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, two hundred sixty".