137909901312 has 288 divisors, whose sum is σ = 428098834800. Its totient is φ = 42613604352.

The previous prime is 137909901299. The next prime is 137909901313. The reversal of 137909901312 is 213109909731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137909901313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20990764 + ... + 20997332.

Almost surely, 2^137909901312 is an apocalyptic number.

137909901312 is a gapful number since it is divisible by the number (12) 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 137909901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214049417400).

137909901312 is an abundant number, since it is smaller than the sum of its proper divisors (290188933488).

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

137909901312 is a wasteful number, since it uses less digits than its factorization.

137909901312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 137909901312 in words is "one hundred thirty-seven billion, nine hundred nine million, nine hundred one thousand, three hundred twelve".