7133388138 has 48 divisors (see below), whose sum is σ = 15895487400. Its totient is φ = 2310311808.

The previous prime is 7133388127. The next prime is 7133388149. The reversal of 7133388138 is 8318833317.

7133388138 is a `hidden beast` number, since 7 + 133 + 388 + 138 = 666.

It is an interprime number because it is at equal distance from previous prime (7133388127) and next prime (7133388149).

It can be written as a sum of positive squares in 4 ways, for example, as 6951057129 + 182331009 = 83373^2 + 13503^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7133388093 and 7133388102.

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, 497088 + ... + 511236.

Almost surely, 2^7133388138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133388138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947743700).

7133388138 is an abundant number, since it is smaller than the sum of its proper divisors (8762099262).

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

7133388138 is a wasteful number, since it uses less digits than its factorization.

7133388138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14948 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7133388138 is about 84459.3875066591. The cubic root of 7133388138 is about 1925.0053983545.

The spelling of 7133388138 in words is "seven billion, one hundred thirty-three million, three hundred eighty-eight thousand, one hundred thirty-eight".