135403190750520 has 6144 divisors, whose sum is σ = 655387656192000. Its totient is φ = 24455208960000.

The previous prime is 135403190750467. The next prime is 135403190750549. The reversal of 135403190750520 is 25057091304531.

135403190750520 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 0 + 31 + 90 + 7 + 5 + 0 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 896709872445 + ... + 896709872595.

It is an arithmetic number, because the mean of its divisors is an integer number (106671168000).

Almost surely, 2^{135403190750520} is an apocalyptic number.

135403190750520 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 135403190750520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327693828096000).

135403190750520 is an abundant number, since it is smaller than the sum of its proper divisors (519984465441480).

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

135403190750520 is a wasteful number, since it uses less digits than its factorization.

135403190750520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 135403190750520 in words is "one hundred thirty-five trillion, four hundred three billion, one hundred ninety million, seven hundred fifty thousand, five hundred twenty".