135777880 has 64 divisors (see below), whose sum is σ = 355104000. Its totient is φ = 45757824.

The previous prime is 135777779. The next prime is 135777881. The reversal of 135777880 is 88777531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135777880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135777881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12411 + ... + 20629.

It is an arithmetic number, because the mean of its divisors is an integer number (5548500).

Almost surely, 2^135777880 is an apocalyptic number.

135777880 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 135777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177552000).

135777880 is an abundant number, since it is smaller than the sum of its proper divisors (219326120).

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

135777880 is a wasteful number, since it uses less digits than its factorization.

135777880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The square root of 135777880 is about 11652.3765816249. The cubic root of 135777880 is about 513.9761983861.

The spelling of 135777880 in words is "one hundred thirty-five million, seven hundred seventy-seven thousand, eight hundred eighty".