260145134800 has 120 divisors (see below), whose sum is σ = 660519286560. Its totient is φ = 98187840000.

The previous prime is 260145134791. The next prime is 260145134803. The reversal of 260145134800 is 8431541062.

It is a super-2 number, since 2×260145134800² (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 (260145134803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839414 + ... + 1975786.

It is an arithmetic number, because the mean of its divisors is an integer number (5504327388).

Almost surely, 2^260145134800 is an apocalyptic number.

260145134800 is a gapful number since it is divisible by the number (20) 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 260145134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330259643280).

260145134800 is an abundant number, since it is smaller than the sum of its proper divisors (400374151760).

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

260145134800 is a wasteful number, since it uses less digits than its factorization.

260145134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136661 (or 136650 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 260145134800 its reverse (8431541062), we get a palindrome (268576675862).

The spelling of 260145134800 in words is "two hundred sixty billion, one hundred forty-five million, one hundred thirty-four thousand, eight hundred".