135337411730115 has 128 divisors (see below), whose sum is σ = 276254490624000. Its totient is φ = 61579902775680.

The previous prime is 135337411730107. The next prime is 135337411730119. The reversal of 135337411730115 is 511037114733531.

135337411730115 is a `hidden beast` number, since 1 + 3 + 5 + 337 + 4 + 1 + 1 + 7 + 301 + 1 + 5 = 666.

It is not a de Polignac number, because 135337411730115 - 2³ = 135337411730107 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (135337411730119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220310936 + ... + 1220421834.

It is an arithmetic number, because the mean of its divisors is an integer number (2158238208000).

Almost surely, 2^{135337411730115} is an apocalyptic number.

135337411730115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135337411730115 is an abundant number, since it is smaller than the sum of its proper divisors (140917078893885).

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

135337411730115 is a wasteful number, since it uses less digits than its factorization.

135337411730115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116934 (or 116928 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 135337411730115 in words is "one hundred thirty-five trillion, three hundred thirty-seven billion, four hundred eleven million, seven hundred thirty thousand, one hundred fifteen".