135550401124224 has 128 divisors (see below), whose sum is σ = 360974859012000. Its totient is φ = 45068200280064.

The previous prime is 135550401124211. The next prime is 135550401124241. The reversal of 135550401124224 is 422421104055531.

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

It is a super-2 number, since 2×135550401124224² (a number of 29 digits) contains 22 as substring.

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, 487191102 + ... + 487469250.

Almost surely, 2^{135550401124224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135550401124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180487429506000).

135550401124224 is an abundant number, since it is smaller than the sum of its proper divisors (225424457887776).

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

135550401124224 is a wasteful number, since it uses less digits than its factorization.

135550401124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281400 (or 281388 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 135550401124224 its reverse (422421104055531), we get a palindrome (557971505179755).

The spelling of 135550401124224 in words is "one hundred thirty-five trillion, five hundred fifty billion, four hundred one million, one hundred twenty-four thousand, two hundred twenty-four".