135512628203520 has 1872 divisors, whose sum is σ = 507909327792048. Its totient is φ = 34673723965440.

The previous prime is 135512628203489. The next prime is 135512628203539. The reversal of 135512628203520 is 25302826215531.

135512628203520 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 12 + 6 + 282 + 0 + 352 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6505193078784 + 129007435124736 = 2550528^2 + 11358144^2 .

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 143 ways as a sum of consecutive naturals, for example, 482251345780 + ... + 482251346060.

It is an arithmetic number, because the mean of its divisors is an integer number (271319085359).

Almost surely, 2^{135512628203520} is an apocalyptic number.

135512628203520 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 135512628203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253954663896024).

135512628203520 is an abundant number, since it is smaller than the sum of its proper divisors (372396699588528).

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

135512628203520 is an frugal number, since it uses more digits than its factorization.

135512628203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 135512628203520 in words is "one hundred thirty-five trillion, five hundred twelve billion, six hundred twenty-eight million, two hundred three thousand, five hundred twenty".