1072536137 has 8 divisors (see below), whose sum is σ = 1137625632. Its totient is φ = 1007668800.

The previous prime is 1072536107. The next prime is 1072536151. The reversal of 1072536137 is 7316352701.

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 1072536137 - 2⁸ = 1072535881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072536097 and 1072536106.

It is not an unprimeable number, because it can be changed into a prime (1072536107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45539 + ... + 64952.

It is an arithmetic number, because the mean of its divisors is an integer number (142203204).

Almost surely, 2^1072536137 is an apocalyptic number.

1072536137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1072536137 is a deficient number, since it is larger than the sum of its proper divisors (65089495).

1072536137 is a wasteful number, since it uses less digits than its factorization.

1072536137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111079.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 1072536137 is about 32749.5975089771. The cubic root of 1072536137 is about 1023.6165788766.

Adding to 1072536137 its reverse (7316352701), we get a palindrome (8388888838).

The spelling of 1072536137 in words is "one billion, seventy-two million, five hundred thirty-six thousand, one hundred thirty-seven".