135415441323450 has 144 divisors (see below), whose sum is σ = 368968118029056. Its totient is φ = 35599499644800.

The previous prime is 135415441323431. The next prime is 135415441323473. The reversal of 135415441323450 is 54323144514531.

135415441323450 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 154 + 41 + 3 + 2 + 3 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135415441323396 and 135415441323405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443217439 + ... + 443522861.

It is an arithmetic number, because the mean of its divisors is an integer number (2562278597424).

Almost surely, 2^{135415441323450} is an apocalyptic number.

135415441323450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135415441323450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184484059014528).

135415441323450 is an abundant number, since it is smaller than the sum of its proper divisors (233552676705606).

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

135415441323450 is a wasteful number, since it uses less digits than its factorization.

135415441323450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319389 (or 319381 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 135415441323450 its reverse (54323144514531), we get a palindrome (189738585837981).

The spelling of 135415441323450 in words is "one hundred thirty-five trillion, four hundred fifteen billion, four hundred forty-one million, three hundred twenty-three thousand, four hundred fifty".