135520276055040 has 1408 divisors, whose sum is σ = 514745104896000. Its totient is φ = 34135171891200.

The previous prime is 135520276055039. The next prime is 135520276055077. The reversal of 135520276055040 is 40550672025531.

It is a happy number.

135520276055040 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 20 + 2 + 76 + 0 + 550 + 4 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 93397846315 + ... + 93397847765.

It is an arithmetic number, because the mean of its divisors is an integer number (365586012000).

Almost surely, 2^{135520276055040} is an apocalyptic number.

135520276055040 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 135520276055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257372552448000).

135520276055040 is an abundant number, since it is smaller than the sum of its proper divisors (379224828840960).

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

135520276055040 is an equidigital number, since it uses as much as digits as its factorization.

135520276055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 135520276055040 in words is "one hundred thirty-five trillion, five hundred twenty billion, two hundred seventy-six million, fifty-five thousand, forty".