135036377784 has 192 divisors, whose sum is σ = 468291133440. Its totient is φ = 34126375680.

The previous prime is 135036377753. The next prime is 135036377863. The reversal of 135036377784 is 487773630531.

135036377784 = T₃₇₇₀₇ + T₃₇₇₀₈ + ... + T₃₇₈₉₅.

135036377784 is a `hidden beast` number, since 1 + 3 + 503 + 63 + 7 + 7 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135036377784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124024 + ... + 534279.

It is an arithmetic number, because the mean of its divisors is an integer number (2439016320).

Almost surely, 2^135036377784 is an apocalyptic number.

135036377784 is a gapful number since it is divisible by the number (14) 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 135036377784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234145566720).

135036377784 is an abundant number, since it is smaller than the sum of its proper divisors (333254755656).

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

135036377784 is a wasteful number, since it uses less digits than its factorization.

135036377784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658370 (or 658363 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 135036377784 in words is "one hundred thirty-five billion, thirty-six million, three hundred seventy-seven thousand, seven hundred eighty-four".