1138713576 has 384 divisors, whose sum is σ = 4004044800. Its totient is φ = 262310400.

The previous prime is 1138713559. The next prime is 1138713619. The reversal of 1138713576 is 6753178311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8192115 + ... + 8192253.

It is an arithmetic number, because the mean of its divisors is an integer number (10427200).

Almost surely, 2^1138713576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138713576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002022400).

1138713576 is an abundant number, since it is smaller than the sum of its proper divisors (2865331224).

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

1138713576 is a wasteful number, since it uses less digits than its factorization.

1138713576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 1138713576 is about 33744.8303596269. The cubic root of 1138713576 is about 1044.2508388622.

The spelling of 1138713576 in words is "one billion, one hundred thirty-eight million, seven hundred thirteen thousand, five hundred seventy-six".