137680101 has 16 divisors (see below), whose sum is σ = 219661120. Its totient is φ = 84726000.

The previous prime is 137680097. The next prime is 137680133. The reversal of 137680101 is 101086731.

It is not a de Polignac number, because 137680101 - 2² = 137680097 is a prime.

It is a super-2 number, since 2×137680101² = 37911620422740402, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137680181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195775 + ... + 196476.

It is an arithmetic number, because the mean of its divisors is an integer number (13728820).

Almost surely, 2^137680101 is an apocalyptic number.

It is an amenable number.

137680101 is a deficient number, since it is larger than the sum of its proper divisors (81981019).

137680101 is a wasteful number, since it uses less digits than its factorization.

137680101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392273 (or 392267 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 137680101 is about 11733.7164189356. The cubic root of 137680101 is about 516.3653105381.

The spelling of 137680101 in words is "one hundred thirty-seven million, six hundred eighty thousand, one hundred one".