135440523141504 has 128 divisors (see below), whose sum is σ = 411261373785600. Its totient is φ = 38687631826944.

The previous prime is 135440523141481. The next prime is 135440523141533. The reversal of 135440523141504 is 405141325044531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4483432 + ... + 17058200.

It is an arithmetic number, because the mean of its divisors is an integer number (3212979482700).

Almost surely, 2^{135440523141504} is an apocalyptic number.

135440523141504 is a gapful number since it is divisible by the number (14) 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 135440523141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205630686892800).

135440523141504 is an abundant number, since it is smaller than the sum of its proper divisors (275820850644096).

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

135440523141504 is a wasteful number, since it uses less digits than its factorization.

135440523141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578800 (or 12578788 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 135440523141504 in words is "one hundred thirty-five trillion, four hundred forty billion, five hundred twenty-three million, one hundred forty-one thousand, five hundred four".