135437273013376 has 64 divisors (see below), whose sum is σ = 269908297284600. Its totient is φ = 67695587205120.

The previous prime is 135437273013373. The next prime is 135437273013379. The reversal of 135437273013376 is 673310372734531.

135437273013376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135437273013373) and next prime (135437273013379).

It can be written as a sum of positive squares in 4 ways, for example, as 89419718440000 + 46017554573376 = 9456200^2 + 6783624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (135437273013373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7061002506 + ... + 7061021686.

Almost surely, 2^{135437273013376} is an apocalyptic number.

135437273013376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135437273013376 is a deficient number, since it is larger than the sum of its proper divisors (134471024271224).

135437273013376 is a wasteful number, since it uses less digits than its factorization.

135437273013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35097 (or 35085 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 55.

The spelling of 135437273013376 in words is "one hundred thirty-five trillion, four hundred thirty-seven billion, two hundred seventy-three million, thirteen thousand, three hundred seventy-six".