1071538146 has 128 divisors (see below), whose sum is σ = 2796134400. Its totient is φ = 301596048.

The previous prime is 1071538141. The next prime is 1071538151. The reversal of 1071538146 is 6418351701.

1071538146 is a `hidden beast` number, since 10 + 71 + 538 + 1 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (1071538141) and next prime (1071538151).

It is a super-2 number, since 2×1071538146² = 2296387996666234632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071538146.

It is not an unprimeable number, because it can be changed into a prime (1071538141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2418601 + ... + 2419043.

It is an arithmetic number, because the mean of its divisors is an integer number (21844800).

Almost surely, 2^1071538146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071538146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398067200).

1071538146 is an abundant number, since it is smaller than the sum of its proper divisors (1724596254).

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

1071538146 is an frugal number, since it uses more digits than its factorization.

1071538146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1071538146 is about 32734.3572718329. The cubic root of 1071538146 is about 1023.2989898417.

Adding to 1071538146 its reverse (6418351701), we get a palindrome (7489889847).

The spelling of 1071538146 in words is "one billion, seventy-one million, five hundred thirty-eight thousand, one hundred forty-six".