137351712 has 48 divisors (see below), whose sum is σ = 362607840. Its totient is φ = 45522432.

The previous prime is 137351693. The next prime is 137351717. The reversal of 137351712 is 217153731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137351712.

It is not an unprimeable number, because it can be changed into a prime (137351717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13188 + ... + 21180.

It is an arithmetic number, because the mean of its divisors is an integer number (7554330).

Almost surely, 2^137351712 is an apocalyptic number.

137351712 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 137351712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181303920).

137351712 is an abundant number, since it is smaller than the sum of its proper divisors (225256128).

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

137351712 is a wasteful number, since it uses less digits than its factorization.

137351712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8177 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 137351712 is about 11719.7146722947. The cubic root of 137351712 is about 515.9544458312.

The spelling of 137351712 in words is "one hundred thirty-seven million, three hundred fifty-one thousand, seven hundred twelve".