135303314452240 has 160 divisors (see below), whose sum is σ = 344225891704320. Its totient is φ = 49051253145600.

The previous prime is 135303314452219. The next prime is 135303314452261. The reversal of 135303314452240 is 42254413303531.

It is an interprime number because it is at equal distance from previous prime (135303314452219) and next prime (135303314452261).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 135303314452193 and 135303314452202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386230281 + ... + 386580439.

It is an arithmetic number, because the mean of its divisors is an integer number (2151411823152).

Almost surely, 2^{135303314452240} is an apocalyptic number.

135303314452240 is a gapful number since it is divisible by the number (10) 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 135303314452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172112945852160).

135303314452240 is an abundant number, since it is smaller than the sum of its proper divisors (208922577252080).

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

135303314452240 is a wasteful number, since it uses less digits than its factorization.

135303314452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351521 (or 351515 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 135303314452240 its reverse (42254413303531), we get a palindrome (177557727755771).

The spelling of 135303314452240 in words is "one hundred thirty-five trillion, three hundred three billion, three hundred fourteen million, four hundred fifty-two thousand, two hundred forty".