135814883060 has 192 divisors, whose sum is σ = 314656634880. Its totient is φ = 49049763840.

The previous prime is 135814883059. The next prime is 135814883131. The reversal of 135814883060 is 60388418531.

It is a junction number, because it is equal to n+sod(n) for n = 135814882996 and 135814883014.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 342102782 + ... + 342103178.

It is an arithmetic number, because the mean of its divisors is an integer number (1638836640).

Almost surely, 2^135814883060 is an apocalyptic number.

135814883060 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 135814883060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157328317440).

135814883060 is an abundant number, since it is smaller than the sum of its proper divisors (178841751820).

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

135814883060 is a wasteful number, since it uses less digits than its factorization.

135814883060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 135814883060 in words is "one hundred thirty-five billion, eight hundred fourteen million, eight hundred eighty-three thousand, sixty".