135181915545600 has 3528 divisors, whose sum is σ = 631976155572720. Its totient is φ = 28063472025600.

The previous prime is 135181915545583. The next prime is 135181915545661. The reversal of 135181915545600 is 6545519181531.

It is a happy number.

135181915545600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 8 + 1 + 91 + 5 + 545 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 126456421866 + ... + 126456422934.

Almost surely, 2^{135181915545600} is an apocalyptic number.

135181915545600 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 135181915545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315988077786360).

135181915545600 is an abundant number, since it is smaller than the sum of its proper divisors (496794240027120).

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

135181915545600 is an equidigital number, since it uses as much as digits as its factorization.

135181915545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 54.

The spelling of 135181915545600 in words is "one hundred thirty-five trillion, one hundred eighty-one billion, nine hundred fifteen million, five hundred forty-five thousand, six hundred".