1006741740137 has 32 divisors (see below), whose sum is σ = 1223215545600. Its totient is φ = 811657822464.

The previous prime is 1006741740131. The next prime is 1006741740143. The reversal of 1006741740137 is 7310471476001.

It is an interprime number because it is at equal distance from previous prime (1006741740131) and next prime (1006741740143).

It is not a de Polignac number, because 1006741740137 - 2³² = 1002446772841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006741740094 and 1006741740103.

It is not an unprimeable number, because it can be changed into a prime (1006741740131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61517318 + ... + 61533680.

It is an arithmetic number, because the mean of its divisors is an integer number (38225485800).

Almost surely, 2^{1006741740137} is an apocalyptic number.

1006741740137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1006741740137 is a deficient number, since it is larger than the sum of its proper divisors (216473805463).

1006741740137 is an equidigital number, since it uses as much as digits as its factorization.

1006741740137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210 (or 18176 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 1006741740137 in words is "one trillion, six billion, seven hundred forty-one million, seven hundred forty thousand, one hundred thirty-seven".