135622919120 has 80 divisors (see below), whose sum is σ = 341588709840. Its totient is φ = 50076089856.

The previous prime is 135622919071. The next prime is 135622919147. The reversal of 135622919120 is 21919226531.

It can be written as a sum of positive squares in 8 ways, for example, as 68029158976 + 67593760144 = 260824^2 + 259988^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210059 + ... + 561578.

It is an arithmetic number, because the mean of its divisors is an integer number (4269858873).

Almost surely, 2^135622919120 is an apocalyptic number.

135622919120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135622919120 is an abundant number, since it is smaller than the sum of its proper divisors (205965790720).

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

135622919120 is an equidigital number, since it uses as much as digits as its factorization.

135622919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771689 (or 771657 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 135622919120 in words is "one hundred thirty-five billion, six hundred twenty-two million, nine hundred nineteen thousand, one hundred twenty".