135777000366 has 192 divisors, whose sum is σ = 370079124480. Its totient is φ = 35078883840.

The previous prime is 135777000349. The next prime is 135777000367. The reversal of 135777000366 is 663000777531.

It is a happy number.

135777000366 is a `hidden beast` number, since 1 + 3 + 577 + 70 + 0 + 0 + 3 + 6 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135777000367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28684936 + ... + 28689668.

It is an arithmetic number, because the mean of its divisors is an integer number (1927495440).

Almost surely, 2^135777000366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135777000366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185039562240).

135777000366 is an abundant number, since it is smaller than the sum of its proper divisors (234302124114).

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

135777000366 is a wasteful number, since it uses less digits than its factorization.

135777000366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

Adding to 135777000366 its reverse (663000777531), we get a palindrome (798777777897).

The spelling of 135777000366 in words is "one hundred thirty-five billion, seven hundred seventy-seven million, three hundred sixty-six", and thus it is an aban number.