260135502144 has 112 divisors (see below), whose sum is σ = 787397984256. Its totient is φ = 74249049600.

The previous prime is 260135502073. The next prime is 260135502149. The reversal of 260135502144 is 441205531062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×260135502144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260135502149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234249 + ... + 1429559.

Almost surely, 2^260135502144 is an apocalyptic number.

260135502144 is a gapful number since it is divisible by the number (24) 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 260135502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393698992128).

260135502144 is an abundant number, since it is smaller than the sum of its proper divisors (527262482112).

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

260135502144 is a wasteful number, since it uses less digits than its factorization.

260135502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196324 (or 196314 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 260135502144 in words is "two hundred sixty billion, one hundred thirty-five million, five hundred two thousand, one hundred forty-four".