7437381138 has 96 divisors (see below), whose sum is σ = 17959294080. Its totient is φ = 2205265920.

The previous prime is 7437381103. The next prime is 7437381143. The reversal of 7437381138 is 8311837347.

7437381138 is a `hidden beast` number, since 7 + 437 + 3 + 81 + 138 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7437381093 and 7437381102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5277778 + ... + 5279186.

It is an arithmetic number, because the mean of its divisors is an integer number (187075980).

Almost surely, 2^7437381138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7437381138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979647040).

7437381138 is an abundant number, since it is smaller than the sum of its proper divisors (10521912942).

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

7437381138 is a wasteful number, since it uses less digits than its factorization.

7437381138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1981 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7437381138 is about 86240.2524231000. The cubic root of 7437381138 is about 1951.9709318952.

The spelling of 7437381138 in words is "seven billion, four hundred thirty-seven million, three hundred eighty-one thousand, one hundred thirty-eight".