1006135746 has 128 divisors (see below), whose sum is σ = 2616053760. Its totient is φ = 250387200.

The previous prime is 1006135703. The next prime is 1006135751. The reversal of 1006135746 is 6475316001.

It is a super-3 number, since 3×1006135746³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1213260 + ... + 1214088.

It is an arithmetic number, because the mean of its divisors is an integer number (20437920).

Almost surely, 2^1006135746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006135746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308026880).

1006135746 is an abundant number, since it is smaller than the sum of its proper divisors (1609918014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006135746 is a wasteful number, since it uses less digits than its factorization.

1006135746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1006135746 is about 31719.6429046734. The cubic root of 1006135746 is about 1002.0410798254.

The spelling of 1006135746 in words is "one billion, six million, one hundred thirty-five thousand, seven hundred forty-six".