135630053315340 has 96 divisors (see below), whose sum is σ = 387958639509504. Its totient is φ = 35388040554240.

The previous prime is 135630053315311. The next prime is 135630053315411. The reversal of 135630053315340 is 43513350036531.

It is a super-2 number, since 2×135630053315340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135630053315292 and 135630053315301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470942 + ... + 16654298.

It is an arithmetic number, because the mean of its divisors is an integer number (4041235828224).

Almost surely, 2^{135630053315340} is an apocalyptic number.

135630053315340 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 135630053315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193979319754752).

135630053315340 is an abundant number, since it is smaller than the sum of its proper divisors (252328586194164).

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

135630053315340 is a wasteful number, since it uses less digits than its factorization.

135630053315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186807 (or 14186805 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 42.

The spelling of 135630053315340 in words is "one hundred thirty-five trillion, six hundred thirty billion, fifty-three million, three hundred fifteen thousand, three hundred forty".