1042152138 has 48 divisors (see below), whose sum is σ = 2342135016. Its totient is φ = 334627200.

The previous prime is 1042152107. The next prime is 1042152151. The reversal of 1042152138 is 8312512401.

1042152138 is a `hidden beast` number, since 104 + 2 + 1 + 521 + 38 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016780769 + 25371369 = 31887^2 + 5037^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59520 + ... + 75012.

Almost surely, 2^1042152138 is an apocalyptic number.

1042152138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042152138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171067508).

1042152138 is an abundant number, since it is smaller than the sum of its proper divisors (1299982878).

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

1042152138 is a wasteful number, since it uses less digits than its factorization.

1042152138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1042152138 is about 32282.3812318732. The cubic root of 1042152138 is about 1013.8577873220.

Adding to 1042152138 its reverse (8312512401), we get a palindrome (9354664539).

The spelling of 1042152138 in words is "one billion, forty-two million, one hundred fifty-two thousand, one hundred thirty-eight".