135012501382144 has 297 divisors, whose sum is σ = 295454985054177. Its totient is φ = 61654304710656.

The previous prime is 135012501382079. The next prime is 135012501382147. The reversal of 135012501382144 is 441283105210531.

It is a happy number.

The square root of 135012501382144 is 11619488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70797280748544 + 64215220633600 = 8414112^2 + 8013440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135012501382097 and 135012501382106.

It is not an unprimeable number, because it can be changed into a prime (135012501382147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204874812087 + ... + 204874812745.

Almost surely, 2^{135012501382144} is an apocalyptic number.

135012501382144 is the 11619488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135012501382144

135012501382144 is an abundant number, since it is smaller than the sum of its proper divisors (160442483672033).

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

135012501382144 is an frugal number, since it uses more digits than its factorization.

135012501382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 135012501382144 its reverse (441283105210531), we get a palindrome (576295606592675).

The spelling of 135012501382144 in words is "one hundred thirty-five trillion, twelve billion, five hundred one million, three hundred eighty-two thousand, one hundred forty-four".