137000032 has 48 divisors (see below), whose sum is σ = 305771760. Its totient is φ = 59899392.

The previous prime is 137000027. The next prime is 137000041. The reversal of 137000032 is 230000731.

137000032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 16570.

It is an arithmetic number, because the mean of its divisors is an integer number (6370245).

Almost surely, 2^137000032 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 137000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152885880).

137000032 is an abundant number, since it is smaller than the sum of its proper divisors (168771728).

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

137000032 is a wasteful number, since it uses less digits than its factorization.

137000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17375 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 137000032 is about 11704.7012776918. The cubic root of 137000032 is about 515.5137136849.

Adding to 137000032 its reverse (230000731), we get a palindrome (367000763).

The spelling of 137000032 in words is "one hundred thirty-seven million, thirty-two", and thus it is an aban number.