135630038504380 has 48 divisors (see below), whose sum is σ = 326191658526720. Its totient is φ = 46404646613568.

The previous prime is 135630038504351. The next prime is 135630038504381. The reversal of 135630038504380 is 83405830036531.

It is a super-3 number, since 3×135630038504380³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135630038504381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011191802 + ... + 1011325921.

It is an arithmetic number, because the mean of its divisors is an integer number (6795659552640).

Almost surely, 2^{135630038504380} is an apocalyptic number.

135630038504380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135630038504380 is an abundant number, since it is smaller than the sum of its proper divisors (190561620022340).

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

135630038504380 is a wasteful number, since it uses less digits than its factorization.

135630038504380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022518218 (or 2022518216 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 135630038504380 in words is "one hundred thirty-five trillion, six hundred thirty billion, thirty-eight million, five hundred four thousand, three hundred eighty".