13761125100 has 288 divisors, whose sum is σ = 45808179200. Its totient is φ = 3541190400.

The previous prime is 13761125083. The next prime is 13761125107. The reversal of 13761125100 is 152116731.

13761125100 is a `hidden beast` number, since 1 + 37 + 6 + 112 + 510 + 0 = 666.

13761125100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13761125107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13885605 + ... + 13886595.

Almost surely, 2^13761125100 is an apocalyptic number.

13761125100 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 13761125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904089600).

13761125100 is an abundant number, since it is smaller than the sum of its proper divisors (32047054100).

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

13761125100 is a wasteful number, since it uses less digits than its factorization.

13761125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 13761125100 in words is "thirteen billion, seven hundred sixty-one million, one hundred twenty-five thousand, one hundred".