135460733330430 has 192 divisors, whose sum is σ = 354004088413248. Its totient is φ = 35938212710400.

The previous prime is 135460733330413. The next prime is 135460733330437. The reversal of 135460733330430 is 34033337064531.

135460733330430 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 6 + 0 + 7 + 333 + 304 + 3 + 0 = 666.

It is a super-2 number, since 2×135460733330430² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135460733330437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28681076049 + ... + 28681080771.

It is an arithmetic number, because the mean of its divisors is an integer number (1843771293819).

Almost surely, 2^{135460733330430} is an apocalyptic number.

135460733330430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135460733330430 is an abundant number, since it is smaller than the sum of its proper divisors (218543355082818).

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

135460733330430 is a wasteful number, since it uses less digits than its factorization.

135460733330430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 45.

The spelling of 135460733330430 in words is "one hundred thirty-five trillion, four hundred sixty billion, seven hundred thirty-three million, three hundred thirty thousand, four hundred thirty".