1559138112 has 224 divisors, whose sum is σ = 5278160640. Its totient is φ = 442091520.

The previous prime is 1559138093. The next prime is 1559138123. The reversal of 1559138112 is 2118319551.

1559138112 is a `hidden beast` number, since 1 + 559 + 13 + 81 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898662 + ... + 1899482.

Almost surely, 2^1559138112 is an apocalyptic number.

1559138112 is a gapful number since it is divisible by the number (12) 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 1559138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639080320).

1559138112 is an abundant number, since it is smaller than the sum of its proper divisors (3719022528).

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

1559138112 is a wasteful number, since it uses less digits than its factorization.

1559138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 990 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The square root of 1559138112 is about 39485.9229599613. The cubic root of 1559138112 is about 1159.5643707078.

It can be divided in two parts, 155913 and 8112, that added together give a square (164025 = 405²).

The spelling of 1559138112 in words is "one billion, five hundred fifty-nine million, one hundred thirty-eight thousand, one hundred twelve".