137528532 has 18 divisors (see below), whose sum is σ = 347641658. Its totient is φ = 45842832.

The previous prime is 137528513. The next prime is 137528537. The reversal of 137528532 is 235825731.

It is a happy number.

137528532 is a `hidden beast` number, since 1 + 375 + 285 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135349956 + 2178576 = 11634^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×137528532² = 37828194228150048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3820237 = 137528532 / (1 + 3 + 7 + 5 + 2 + 8 + 5 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137528537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1910083 + ... + 1910154.

Almost surely, 2^137528532 is an apocalyptic number.

137528532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137528532 is an abundant number, since it is smaller than the sum of its proper divisors (210113126).

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

137528532 is a wasteful number, since it uses less digits than its factorization.

137528532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820247 (or 3820242 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 137528532 is about 11727.2559450197. The cubic root of 137528532 is about 516.1757558849.

The spelling of 137528532 in words is "one hundred thirty-seven million, five hundred twenty-eight thousand, five hundred thirty-two".