83634842137 has 48 divisors (see below), whose sum is σ = 107918980992. Its totient is φ = 64266894720.

The previous prime is 83634842129. The next prime is 83634842167. The reversal of 83634842137 is 73124843638.

It is not a de Polignac number, because 83634842137 - 2³ = 83634842129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83634842167) 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 47 ways as a sum of consecutive naturals, for example, 13492923 + ... + 13499119.

It is an arithmetic number, because the mean of its divisors is an integer number (2248312104).

Almost surely, 2^83634842137 is an apocalyptic number.

It is an amenable number.

83634842137 is a deficient number, since it is larger than the sum of its proper divisors (24284138855).

83634842137 is an frugal number, since it uses more digits than its factorization.

83634842137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6288 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

The spelling of 83634842137 in words is "eighty-three billion, six hundred thirty-four million, eight hundred forty-two thousand, one hundred thirty-seven".