1138753434 has 192 divisors, whose sum is σ = 3008396160. Its totient is φ = 286191360.

The previous prime is 1138753417. The next prime is 1138753439. The reversal of 1138753434 is 4343578311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1138753392 and 1138753401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138753439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26482617 + ... + 26482659.

It is an arithmetic number, because the mean of its divisors is an integer number (15668730).

Almost surely, 2^1138753434 is an apocalyptic number.

1138753434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138753434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504198080).

1138753434 is an abundant number, since it is smaller than the sum of its proper divisors (1869642726).

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

1138753434 is a wasteful number, since it uses less digits than its factorization.

1138753434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1138753434 is about 33745.4209338097. The cubic root of 1138753434 is about 1044.2630225711.

The spelling of 1138753434 in words is "one billion, one hundred thirty-eight million, seven hundred fifty-three thousand, four hundred thirty-four".