136681376100 has 288 divisors, whose sum is σ = 422912931840. Its totient is φ = 34019328000.

The previous prime is 136681376077. The next prime is 136681376123. The reversal of 136681376100 is 1673186631.

It is an interprime number because it is at equal distance from previous prime (136681376077) and next prime (136681376123).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 40305405 + ... + 40308795.

It is an arithmetic number, because the mean of its divisors is an integer number (1468447680).

Almost surely, 2^136681376100 is an apocalyptic number.

136681376100 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 136681376100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211456465920).

136681376100 is an abundant number, since it is smaller than the sum of its proper divisors (286231555740).

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

136681376100 is a wasteful number, since it uses less digits than its factorization.

136681376100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 136681376100 in words is "one hundred thirty-six billion, six hundred eighty-one million, three hundred seventy-six thousand, one hundred".