137652 has 12 divisors (see below), whose sum is σ = 321216. Its totient is φ = 45880.

The previous prime is 137639. The next prime is 137653. The reversal of 137652 is 256731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 1 + 3⁸ + 6 + 7 + 5 + 2¹⁷ .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5724 + ... + 5747.

It is an arithmetic number, because the mean of its divisors is an integer number (26768).

137652 is a Friedman number, since it can be written as 371^2+6+5, using all its digits and the basic arithmetic operations.

2¹³⁷⁶⁵² is an apocalyptic number.

137652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137652 is an abundant number, since it is smaller than the sum of its proper divisors (183564).

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

137652 is a wasteful number, since it uses less digits than its factorization.

137652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478 (or 11476 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 137652 is about 371.0148245017. The cubic root of 137652 is about 51.6330177480.

The spelling of 137652 in words is "one hundred thirty-seven thousand, six hundred fifty-two".