125537733 has 6 divisors (see below), whose sum is σ = 181332294. Its totient is φ = 83691816.

The previous prime is 125537719. The next prime is 125537759. The reversal of 125537733 is 337735521.

125537733 is a `hidden beast` number, since 1 + 2 + 553 + 77 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110187009 + 15350724 = 10497^2 + 3918^2 .

It is not a de Polignac number, because 125537733 - 2⁴ = 125537717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125537033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6974310 + ... + 6974327.

It is an arithmetic number, because the mean of its divisors is an integer number (30222049).

Almost surely, 2^125537733 is an apocalyptic number.

It is an amenable number.

125537733 is a deficient number, since it is larger than the sum of its proper divisors (55794561).

125537733 is a wasteful number, since it uses less digits than its factorization.

125537733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948643 (or 13948640 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 125537733 is about 11204.3622308456. The cubic root of 125537733 is about 500.7159516704.

The spelling of 125537733 in words is "one hundred twenty-five million, five hundred thirty-seven thousand, seven hundred thirty-three".