1134138720 has 576 divisors, whose sum is σ = 4462553088. Its totient is φ = 239616000.

The previous prime is 1134138683. The next prime is 1134138727. The reversal of 1134138720 is 278314311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134138727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27661900 + ... + 27661940.

It is an arithmetic number, because the mean of its divisors is an integer number (7747488).

Almost surely, 2^1134138720 is an apocalyptic number.

1134138720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231276544).

1134138720 is an abundant number, since it is smaller than the sum of its proper divisors (3328414368).

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

1134138720 is a wasteful number, since it uses less digits than its factorization.

1134138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1134138720 is about 33676.9761112841. The cubic root of 1134138720 is about 1042.8505132856.

The spelling of 1134138720 in words is "one billion, one hundred thirty-four million, one hundred thirty-eight thousand, seven hundred twenty".