135457037 has 8 divisors (see below), whose sum is σ = 147302136. Its totient is φ = 124042752.

The previous prime is 135457001. The next prime is 135457039. The reversal of 135457037 is 730754531.

It can be written as a sum of positive squares in 4 ways, for example, as 24344356 + 111112681 = 4934^2 + 10541^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135457037 - 2⁶ = 135456973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135456988 and 135457006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135457039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107048 + ... + 108305.

It is an arithmetic number, because the mean of its divisors is an integer number (18412767).

Almost surely, 2^135457037 is an apocalyptic number.

135457037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135457037 is a deficient number, since it is larger than the sum of its proper divisors (11845099).

135457037 is a wasteful number, since it uses less digits than its factorization.

135457037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215407.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 135457037 is about 11638.6011616517. The cubic root of 135457037 is about 513.5710373323.

The spelling of 135457037 in words is "one hundred thirty-five million, four hundred fifty-seven thousand, thirty-seven".