137100600000 has 2016 divisors, whose sum is σ = 647150579712. Its totient is φ = 27993600000.

The previous prime is 137100599963. The next prime is 137100600029. The reversal of 137100600000 is 6001731.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4422599985 + ... + 4422600015.

It is an arithmetic number, because the mean of its divisors is an integer number (321007232).

Almost surely, 2^137100600000 is an apocalyptic number.

137100600000 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 137100600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323575289856).

137100600000 is an abundant number, since it is smaller than the sum of its proper divisors (510049979712).

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

137100600000 is an frugal number, since it uses more digits than its factorization.

137100600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 137100600000 its reverse (6001731), we get a palindrome (137106601731).

The spelling of 137100600000 in words is "one hundred thirty-seven billion, one hundred million, six hundred thousand".