137809812 has 96 divisors (see below), whose sum is σ = 392089600. Its totient is φ = 36796032.

The previous prime is 137809811. The next prime is 137809823. The reversal of 137809812 is 218908731.

137809812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137809811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125538 + ... + 126630.

Almost surely, 2^137809812 is an apocalyptic number.

137809812 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 137809812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196044800).

137809812 is an abundant number, since it is smaller than the sum of its proper divisors (254279788).

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

137809812 is a wasteful number, since it uses less digits than its factorization.

137809812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 137809812 is about 11739.2423946352. The cubic root of 137809812 is about 516.5274187815.

The spelling of 137809812 in words is "one hundred thirty-seven million, eight hundred nine thousand, eight hundred twelve".