135363742920 has 384 divisors, whose sum is σ = 522314956800. Its totient is φ = 30886085376.

The previous prime is 135363742919. The next prime is 135363742949. The reversal of 135363742920 is 29247363531.

135363742920 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 637 + 4 + 2 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48919377 + ... + 48922143.

It is an arithmetic number, because the mean of its divisors is an integer number (1360195200).

Almost surely, 2^135363742920 is an apocalyptic number.

135363742920 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 135363742920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261157478400).

135363742920 is an abundant number, since it is smaller than the sum of its proper divisors (386951213880).

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

135363742920 is a wasteful number, since it uses less digits than its factorization.

135363742920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 135363742920 in words is "one hundred thirty-five billion, three hundred sixty-three million, seven hundred forty-two thousand, nine hundred twenty".