136971610100 has 54 divisors (see below), whose sum is σ = 321850904130. Its totient is φ = 50574126720.

The previous prime is 136971610073. The next prime is 136971610183. The reversal of 136971610100 is 1016179631.

136971610100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 115281979024 + 21689631076 = 339532^2 + 147274^2 .

It is a super-3 number, since 3×136971610100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4035515 + ... + 4069314.

Almost surely, 2^136971610100 is an apocalyptic number.

136971610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136971610100 is an abundant number, since it is smaller than the sum of its proper divisors (184879294030).

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

136971610100 is a wasteful number, since it uses less digits than its factorization.

136971610100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104869 (or 8104849 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

Adding to 136971610100 its reverse (1016179631), we get a palindrome (137987789731).

The spelling of 136971610100 in words is "one hundred thirty-six billion, nine hundred seventy-one million, six hundred ten thousand, one hundred".