137556 has 18 divisors (see below), whose sum is σ = 347802. Its totient is φ = 45840.

The previous prime is 137537. The next prime is 137567. The reversal of 137556 is 655731.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 3600 = 366^2 + 60^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875 + ... + 1946.

2¹³⁷⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

137556 is an abundant number, since it is smaller than the sum of its proper divisors (210246).

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

137556 is a wasteful number, since it uses less digits than its factorization.

137556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3826 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 137556 is about 370.8854270526. The cubic root of 137556 is about 51.6210118141.

It can be divided in two parts, 1375 and 56, that added together give a triangular number (1431 = T₅₃).

The spelling of 137556 in words is "one hundred thirty-seven thousand, five hundred fifty-six".