137852712 has 64 divisors (see below), whose sum is σ = 384336000. Its totient is φ = 45781632.

The previous prime is 137852707. The next prime is 137852719. The reversal of 137852712 is 217258731.

137852712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137852719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66589 + ... + 68627.

It is an arithmetic number, because the mean of its divisors is an integer number (6005250).

Almost surely, 2^137852712 is an apocalyptic number.

137852712 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 137852712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192168000).

137852712 is an abundant number, since it is smaller than the sum of its proper divisors (246483288).

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

137852712 is a wasteful number, since it uses less digits than its factorization.

137852712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2357 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 137852712 is about 11741.0694572513. The cubic root of 137852712 is about 516.5810113063.

The spelling of 137852712 in words is "one hundred thirty-seven million, eight hundred fifty-two thousand, seven hundred twelve".