135603663451300 has 144 divisors (see below), whose sum is σ = 323198806702464. Its totient is φ = 48974457600000.

The previous prime is 135603663451261. The next prime is 135603663451301. The reversal of 135603663451300 is 3154366306531.

It is not an unprimeable number, because it can be changed into a prime (135603663451301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895701610 + ... + 895852990.

It is an arithmetic number, because the mean of its divisors is an integer number (2244436157656).

Almost surely, 2^{135603663451300} is an apocalyptic number.

135603663451300 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 135603663451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161599403351232).

135603663451300 is an abundant number, since it is smaller than the sum of its proper divisors (187595143251164).

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

135603663451300 is a wasteful number, since it uses less digits than its factorization.

135603663451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156950 (or 156943 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 46.

The spelling of 135603663451300 in words is "one hundred thirty-five trillion, six hundred three billion, six hundred sixty-three million, four hundred fifty-one thousand, three hundred".