135451344242520 has 48 divisors (see below), whose sum is σ = 440216868789360. Its totient is φ = 36120358464576.

The previous prime is 135451344242509. The next prime is 135451344242597. The reversal of 135451344242520 is 25242443154531.

135451344242520 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 51 + 34 + 4 + 2 + 42 + 520 = 666.

It is a super-5 number, since 5×135451344242520⁵ (a number of 72 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188126866644 + ... + 188126867363.

It is an arithmetic number, because the mean of its divisors is an integer number (9171184766445).

Almost surely, 2^{135451344242520} is an apocalyptic number.

135451344242520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135451344242520 is an abundant number, since it is smaller than the sum of its proper divisors (304765524546840).

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

135451344242520 is a wasteful number, since it uses less digits than its factorization.

135451344242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376253734024 (or 376253734017 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 135451344242520 in words is "one hundred thirty-five trillion, four hundred fifty-one billion, three hundred forty-four million, two hundred forty-two thousand, five hundred twenty".