37612135621134 has 128 divisors (see below), whose sum is σ = 85623084288000. Its totient is φ = 12235081757184.

The previous prime is 37612135621097. The next prime is 37612135621139. The reversal of 37612135621134 is 43112653121673.

37612135621134 is a `hidden beast` number, since 3 + 7 + 6 + 1 + 2 + 1 + 3 + 5 + 621 + 13 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 37612135621134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37612135621139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121160549 + ... + 1121194095.

It is an arithmetic number, because the mean of its divisors is an integer number (668930346000).

Almost surely, 2^{37612135621134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37612135621134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42811542144000).

37612135621134 is an abundant number, since it is smaller than the sum of its proper divisors (48010948666866).

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

37612135621134 is a wasteful number, since it uses less digits than its factorization.

37612135621134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36679 (or 36673 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 37612135621134 in words is "thirty-seven trillion, six hundred twelve billion, one hundred thirty-five million, six hundred twenty-one thousand, one hundred thirty-four".