135345421440 has 192 divisors, whose sum is σ = 478764631800. Its totient is φ = 35211755520.

The previous prime is 135345421433. The next prime is 135345421487. The reversal of 135345421440 is 44124543531.

135345421440 is a `hidden beast` number, since 1 + 35 + 34 + 542 + 14 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105427492416 + 29917929024 = 324696^2 + 172968^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135345421395 and 135345421404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50395 + ... + 522714.

Almost surely, 2^135345421440 is an apocalyptic number.

135345421440 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 135345421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239382315900).

135345421440 is an abundant number, since it is smaller than the sum of its proper divisors (343419210360).

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

135345421440 is a wasteful number, since it uses less digits than its factorization.

135345421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573175 (or 573160 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 135345421440 its reverse (44124543531), we get a palindrome (179469964971).

The spelling of 135345421440 in words is "one hundred thirty-five billion, three hundred forty-five million, four hundred twenty-one thousand, four hundred forty".