137852032 has 32 divisors (see below), whose sum is σ = 278407980. Its totient is φ = 67977216.

The previous prime is 137852021. The next prime is 137852069. The reversal of 137852032 is 230258731.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 118336 = 11736^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×137852032⁴ (a number of 34 digits) contains 4444 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 137851985 and 137852003.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1968 + ... + 16720.

Almost surely, 2^137852032 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 137852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139203990).

137852032 is an abundant number, since it is smaller than the sum of its proper divisors (140555948).

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

137852032 is an equidigital number, since it uses as much as digits as its factorization.

137852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840 (or 14828 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137852032 is about 11741.0404990358. The cubic root of 137852032 is about 516.5801619078.

The spelling of 137852032 in words is "one hundred thirty-seven million, eight hundred fifty-two thousand, thirty-two".