137712132 has 36 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 43907952.

The previous prime is 137712131. The next prime is 137712143. The reversal of 137712132 is 231217731.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 137712096 and 137712105.

It is not an unprimeable number, because it can be changed into a prime (137712131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82332 + ... + 83987.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^137712132 is an apocalyptic number.

137712132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137712132 is an abundant number, since it is smaller than the sum of its proper divisors (225530748).

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

137712132 is a wasteful number, since it uses less digits than its factorization.

137712132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166352 (or 166347 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 137712132 is about 11735.0812523817. The cubic root of 137712132 is about 516.4053512185.

Adding to 137712132 its reverse (231217731), we get a palindrome (368929863).

The spelling of 137712132 in words is "one hundred thirty-seven million, seven hundred twelve thousand, one hundred thirty-two".