1242139536 has 225 divisors, whose sum is σ = 3996551713. Its totient is φ = 372176640.

The previous prime is 1242139531. The next prime is 1242139537. The reversal of 1242139536 is 6359312421.

The square root of 1242139536 is 35244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 238517136 + 1003622400 = 15444^2 + 31680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1242139536.

It is not an unprimeable number, because it can be changed into a prime (1242139531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13956580 + ... + 13956668.

Almost surely, 2^1242139536 is an apocalyptic number.

1242139536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1242139536 is the 35244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242139536

1242139536 is an abundant number, since it is smaller than the sum of its proper divisors (2754412177).

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

1242139536 is an equidigital number, since it uses as much as digits as its factorization.

1242139536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 105 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 1242139536 is about 1074.9546145613.

Multiplying 1242139536 by its sum of digits (36), we get a square (44717023296 = 211464²).

1242139536 divided by its sum of digits (36) gives a square (34503876 = 5874²).

The spelling of 1242139536 in words is "one billion, two hundred forty-two million, one hundred thirty-nine thousand, five hundred thirty-six".