1336890100 has 144 divisors (see below), whose sum is σ = 3606519168. Its totient is φ = 418844160.

The previous prime is 1336890089. The next prime is 1336890101. The reversal of 1336890100 is 10986331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336890101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973014 + ... + 974386.

It is an arithmetic number, because the mean of its divisors is an integer number (25045272).

Almost surely, 2^1336890100 is an apocalyptic number.

1336890100 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 1336890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803259584).

1336890100 is an abundant number, since it is smaller than the sum of its proper divisors (2269629068).

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

1336890100 is a wasteful number, since it uses less digits than its factorization.

1336890100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1336890100 is about 36563.5077638894. The cubic root of 1336890100 is about 1101.6202294142.

The spelling of 1336890100 in words is "one billion, three hundred thirty-six million, eight hundred ninety thousand, one hundred".