135757778310 has 288 divisors, whose sum is σ = 449033195520. Its totient is φ = 27851091840.

The previous prime is 135757778293. The next prime is 135757778333. The reversal of 135757778310 is 13877757531.

135757778310 is a `hidden beast` number, since 1 + 3 + 57 + 577 + 7 + 8 + 3 + 10 = 666.

135757778310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135757778310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6010899 + ... + 6033441.

It is an arithmetic number, because the mean of its divisors is an integer number (1559143040).

Almost surely, 2^135757778310 is an apocalyptic number.

135757778310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135757778310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224516597760).

135757778310 is an abundant number, since it is smaller than the sum of its proper divisors (313275417210).

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

135757778310 is a wasteful number, since it uses less digits than its factorization.

135757778310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22664 (or 22650 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 135757778310 in words is "one hundred thirty-five billion, seven hundred fifty-seven million, seven hundred seventy-eight thousand, three hundred ten".