135735928890 has 16 divisors (see below), whose sum is σ = 325766229408. Its totient is φ = 36196247696.

The previous prime is 135735928877. The next prime is 135735928901. The reversal of 135735928890 is 98829537531.

135735928890 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 2×135735928890² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2262265452 + ... + 2262265511.

It is an arithmetic number, because the mean of its divisors is an integer number (20360389338).

Almost surely, 2^135735928890 is an apocalyptic number.

135735928890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135735928890 is an abundant number, since it is smaller than the sum of its proper divisors (190030300518).

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

135735928890 is a wasteful number, since it uses less digits than its factorization.

135735928890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524530973.

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 135735928890 in words is "one hundred thirty-five billion, seven hundred thirty-five million, nine hundred twenty-eight thousand, eight hundred ninety".