1363137103152 has 640 divisors, whose sum is σ = 4480170393600. Its totient is φ = 393182899200.

The previous prime is 1363137103067. The next prime is 1363137103169. The reversal of 1363137103152 is 2513017313631.

1363137103152 is a `hidden beast` number, since 1 + 3 + 631 + 3 + 7 + 1 + 0 + 3 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2068492999 + ... + 2068493657.

It is an arithmetic number, because the mean of its divisors is an integer number (7000266240).

Almost surely, 2^{1363137103152} is an apocalyptic number.

1363137103152 is a gapful number since it is divisible by the number (12) 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 1363137103152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240085196800).

1363137103152 is an abundant number, since it is smaller than the sum of its proper divisors (3117033290448).

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

1363137103152 is a wasteful number, since it uses less digits than its factorization.

1363137103152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 1363137103152 in words is "one trillion, three hundred sixty-three billion, one hundred thirty-seven million, one hundred three thousand, one hundred fifty-two".