135167024640 has 160 divisors (see below), whose sum is σ = 433656770976. Its totient is φ = 35915694080.

The previous prime is 135167024639. The next prime is 135167024653. The reversal of 135167024640 is 46420761531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2126764 + ... + 2189396.

Almost surely, 2^135167024640 is an apocalyptic number.

135167024640 is a gapful number since it is divisible by the number (10) 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 135167024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216828385488).

135167024640 is an abundant number, since it is smaller than the sum of its proper divisors (298489746336).

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

135167024640 is an equidigital number, since it uses as much as digits as its factorization.

135167024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62940 (or 62924 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 135167024640 in words is "one hundred thirty-five billion, one hundred sixty-seven million, twenty-four thousand, six hundred forty".