137124533 has 32 divisors (see below), whose sum is σ = 180278784. Its totient is φ = 101210112.

The previous prime is 137124529. The next prime is 137124593. The reversal of 137124533 is 335421731.

It is not a de Polignac number, because 137124533 - 2² = 137124529 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137124496 and 137124505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137124593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211616 + ... + 212262.

It is an arithmetic number, because the mean of its divisors is an integer number (5633712).

Almost surely, 2^137124533 is an apocalyptic number.

137124533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137124533 is a deficient number, since it is larger than the sum of its proper divisors (43154251).

137124533 is a wasteful number, since it uses less digits than its factorization.

137124533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its digits is 7560, while the sum is 29.

The square root of 137124533 is about 11710.0184884568. The cubic root of 137124533 is about 515.6698268858.

The spelling of 137124533 in words is "one hundred thirty-seven million, one hundred twenty-four thousand, five hundred thirty-three".