1137152016 has 600 divisors, whose sum is σ = 4551333696. Its totient is φ = 260789760.

The previous prime is 1137151997. The next prime is 1137152063. The reversal of 1137152016 is 6102517311.

1137152016 is a `hidden beast` number, since 1 + 137 + 1 + 520 + 1 + 6 = 666.

It is a super-2 number, since 2×1137152016² = 2586229414985728512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49441381 + ... + 49441403.

Almost surely, 2^1137152016 is an apocalyptic number.

1137152016 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 1137152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275666848).

1137152016 is an abundant number, since it is smaller than the sum of its proper divisors (3414181680).

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

1137152016 is a wasteful number, since it uses less digits than its factorization.

1137152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1137152016 is about 33721.6846554261. The cubic root of 1137152016 is about 1043.7732805784.

Adding to 1137152016 its reverse (6102517311), we get a palindrome (7239669327).

The spelling of 1137152016 in words is "one billion, one hundred thirty-seven million, one hundred fifty-two thousand, sixteen".