135552976728480 has 576 divisors, whose sum is σ = 505158718192128. Its totient is φ = 32967580876800.

The previous prime is 135552976728467. The next prime is 135552976728487. The reversal of 135552976728480 is 84827679255531.

135552976728480 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 2 + 9 + 76 + 72 + 8 + 480 = 666.

It is a super-2 number, since 2×135552976728480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 135552976728399 and 135552976728408.

It is not an unprimeable number, because it can be changed into a prime (135552976728487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115623319 + ... + 116789801.

It is an arithmetic number, because the mean of its divisors is an integer number (877011663528).

It is a 1-persistent number, because it is pandigital, but 2⋅135552976728480 = 271105953456960 is not.

Almost surely, 2^{135552976728480} is an apocalyptic number.

135552976728480 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 135552976728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252579359096064).

135552976728480 is an abundant number, since it is smaller than the sum of its proper divisors (369605741463648).

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

135552976728480 is a wasteful number, since it uses less digits than its factorization.

135552976728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166669 (or 1166658 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 135552976728480 in words is "one hundred thirty-five trillion, five hundred fifty-two billion, nine hundred seventy-six million, seven hundred twenty-eight thousand, four hundred eighty".