16131137040 has 360 divisors, whose sum is σ = 57160543128. Its totient is φ = 4232632320.

The previous prime is 16131136999. The next prime is 16131137051. The reversal of 16131137040 is 4073113161.

16131137040 is a `hidden beast` number, since 1 + 613 + 1 + 1 + 3 + 7 + 0 + 40 = 666.

16131137040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 16131032064 = 324^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 16131136995 and 16131137013.

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 71 ways as a sum of consecutive naturals, for example, 38316030 + ... + 38316450.

Almost surely, 2^16131137040 is an apocalyptic number.

16131137040 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 16131137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580271564).

16131137040 is an abundant number, since it is smaller than the sum of its proper divisors (41029406088).

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

16131137040 is an frugal number, since it uses more digits than its factorization.

16131137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 16131137040 in words is "sixteen billion, one hundred thirty-one million, one hundred thirty-seven thousand, forty".