1138145310 has 128 divisors (see below), whose sum is σ = 3165609600. Its totient is φ = 290626560.

The previous prime is 1138145299. The next prime is 1138145357. The reversal of 1138145310 is 135418311.

1138145310 is a `hidden beast` number, since 113 + 8 + 14 + 531 + 0 = 666.

1138145310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1138145310² = 2590749493349992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072180 + ... + 1073240.

It is an arithmetic number, because the mean of its divisors is an integer number (24731325).

Almost surely, 2^1138145310 is an apocalyptic number.

1138145310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138145310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582804800).

1138145310 is an abundant number, since it is smaller than the sum of its proper divisors (2027464290).

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

1138145310 is a wasteful number, since it uses less digits than its factorization.

1138145310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1138145310 is about 33736.4092635835. The cubic root of 1138145310 is about 1044.0771015854.

The spelling of 1138145310 in words is "one billion, one hundred thirty-eight million, one hundred forty-five thousand, three hundred ten".