103136256000 has 1008 divisors, whose sum is σ = 405075835008. Its totient is φ = 25214976000.

The previous prime is 103136255977. The next prime is 103136256029. The reversal of 103136256000 is 652631301.

103136256000 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 36 + 25 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3326975985 + ... + 3326976015.

Almost surely, 2^103136256000 is an apocalyptic number.

103136256000 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 103136256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202537917504).

103136256000 is an abundant number, since it is smaller than the sum of its proper divisors (301939579008).

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

103136256000 is an equidigital number, since it uses as much as digits as its factorization.

103136256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 103136256000 its reverse (652631301), we get a palindrome (103788887301).

The spelling of 103136256000 in words is "one hundred three billion, one hundred thirty-six million, two hundred fifty-six thousand".