37134659016 has 768 divisors, whose sum is σ = 135862272000. Its totient is φ = 9082934784.

The previous prime is 37134659011. The next prime is 37134659033. The reversal of 37134659016 is 61095643173.

It is a happy number.

37134659016 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 46 + 590 + 16 = 666.

37134659016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (37134659011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347052835 + ... + 347052941.

It is an arithmetic number, because the mean of its divisors is an integer number (176904000).

Almost surely, 2^37134659016 is an apocalyptic number.

37134659016 is a gapful number since it is divisible by the number (36) 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 37134659016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136000).

37134659016 is an abundant number, since it is smaller than the sum of its proper divisors (98727612984).

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

37134659016 is a wasteful number, since it uses less digits than its factorization.

37134659016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 37134659016 in words is "thirty-seven billion, one hundred thirty-four million, six hundred fifty-nine thousand, sixteen".