135001014414 has 64 divisors (see below), whose sum is σ = 327008088576. Its totient is φ = 36271355904.

The previous prime is 135001014413. The next prime is 135001014419. The reversal of 135001014414 is 414410100531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135001014413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 749094 + ... + 911670.

It is an arithmetic number, because the mean of its divisors is an integer number (5109501384).

Almost surely, 2^135001014414 is an apocalyptic number.

135001014414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135001014414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163504044288).

135001014414 is an abundant number, since it is smaller than the sum of its proper divisors (192007074162).

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

135001014414 is a wasteful number, since it uses less digits than its factorization.

135001014414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163769.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 135001014414 its reverse (414410100531), we get a palindrome (549411114945).

The spelling of 135001014414 in words is "one hundred thirty-five billion, one million, fourteen thousand, four hundred fourteen".