135548743680 has 728 divisors, whose sum is σ = 557792945952. Its totient is φ = 30958682112.

The previous prime is 135548743643. The next prime is 135548743699. The reversal of 135548743680 is 86347845531.

135548743680 is a `hidden beast` number, since 1 + 3 + 5 + 54 + 87 + 436 + 80 = 666.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 104508792 + ... + 104510088.

Almost surely, 2^135548743680 is an apocalyptic number.

135548743680 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 135548743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278896472976).

135548743680 is an abundant number, since it is smaller than the sum of its proper divisors (422244202272).

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

135548743680 is an frugal number, since it uses more digits than its factorization.

135548743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 135548743680 in words is "one hundred thirty-five billion, five hundred forty-eight million, seven hundred forty-three thousand, six hundred eighty".