137889752 has 128 divisors (see below), whose sum is σ = 353687040. Its totient is φ = 48660480.

The previous prime is 137889749. The next prime is 137889757. The reversal of 137889752 is 257988731.

It is a self number, because there is not a number n which added to its sum of digits gives 137889752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137889757) 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 31 ways as a sum of consecutive naturals, for example, 536408 + ... + 536664.

It is an arithmetic number, because the mean of its divisors is an integer number (2763180).

Almost surely, 2^137889752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137889752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520).

137889752 is an abundant number, since it is smaller than the sum of its proper divisors (215797288).

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

137889752 is a wasteful number, since it uses less digits than its factorization.

137889752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

The square root of 137889752 is about 11742.6467203949. The cubic root of 137889752 is about 516.6272743235.

The spelling of 137889752 in words is "one hundred thirty-seven million, eight hundred eighty-nine thousand, seven hundred fifty-two".