137522 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 49680.

The previous prime is 137519. The next prime is 137537. The reversal of 137522 is 225731.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 5⁷ + 7³ + 2 + 2 .

It is a junction number, because it is equal to n+sod(n) for n = 137494 and 137503.

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 15 ways as a sum of consecutive naturals, for example, 2903 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹³⁷⁵²² is an apocalyptic number.

137522 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

137522 is a wasteful number, since it uses less digits than its factorization.

137522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 420, while the sum is 20.

The square root of 137522 is about 370.8395879622. The cubic root of 137522 is about 51.6167583730.

Subtracting 137522 from its reverse (225731), we obtain a square (88209 = 297²).

The spelling of 137522 in words is "one hundred thirty-seven thousand, five hundred twenty-two".