1516679136 has 144 divisors (see below), whose sum is σ = 5062677984. Its totient is φ = 421604352.

The previous prime is 1516679119. The next prime is 1516679141. The reversal of 1516679136 is 6319766151.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1516679091 and 1516679100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64426 + ... + 84758.

It is an arithmetic number, because the mean of its divisors is an integer number (35157486).

Almost surely, 2^1516679136 is an apocalyptic number.

1516679136 is a gapful number since it is divisible by the number (16) 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 1516679136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531338992).

1516679136 is an abundant number, since it is smaller than the sum of its proper divisors (3545998848).

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

1516679136 is a wasteful number, since it uses less digits than its factorization.

1516679136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393 (or 20382 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1516679136 is about 38944.5649096251. The cubic root of 1516679136 is about 1148.9414672944.

The spelling of 1516679136 in words is "one billion, five hundred sixteen million, six hundred seventy-nine thousand, one hundred thirty-six".