137532032 has 128 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 57507840.

The previous prime is 137532001. The next prime is 137532047. The reversal of 137532032 is 230235731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 137531992 and 137532010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417808 + ... + 1417904.

Almost surely, 2^137532032 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 137532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

137532032 is an abundant number, since it is smaller than the sum of its proper divisors (186338368).

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

137532032 is a wasteful number, since it uses less digits than its factorization.

137532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 137532032 is about 11727.4051690900. The cubic root of 137532032 is about 516.1801346122.

Adding to 137532032 its reverse (230235731), we get a palindrome (367767763).

The spelling of 137532032 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, thirty-two".