135520447654020 has 576 divisors, whose sum is σ = 462306376965888. Its totient is φ = 29443087872000.

The previous prime is 135520447654019. The next prime is 135520447654027. The reversal of 135520447654020 is 20456744025531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135520447654027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1630750470 + ... + 1630833570.

It is an arithmetic number, because the mean of its divisors is an integer number (802615237788).

Almost surely, 2^{135520447654020} is an apocalyptic number.

135520447654020 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 135520447654020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231153188482944).

135520447654020 is an abundant number, since it is smaller than the sum of its proper divisors (326785929311868).

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

135520447654020 is a wasteful number, since it uses less digits than its factorization.

135520447654020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83652 (or 83639 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 135520447654020 in words is "one hundred thirty-five trillion, five hundred twenty billion, four hundred forty-seven million, six hundred fifty-four thousand, twenty".