135014944512 has 144 divisors (see below), whose sum is σ = 414659248640. Its totient is φ = 38201020416.

The previous prime is 135014944511. The next prime is 135014944513. The reversal of 135014944512 is 215449410531.

It is an interprime number because it is at equal distance from previous prime (135014944511) and next prime (135014944513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135014944511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431814 + ... + 675642.

Almost surely, 2^135014944512 is an apocalyptic number.

135014944512 is a gapful number since it is divisible by the number (12) 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 135014944512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207329624320).

135014944512 is an abundant number, since it is smaller than the sum of its proper divisors (279644304128).

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

135014944512 is a wasteful number, since it uses less digits than its factorization.

135014944512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243958 (or 243944 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 135014944512 in words is "one hundred thirty-five billion, fourteen million, nine hundred forty-four thousand, five hundred twelve".