37134533987712 has 2048 divisors, whose sum is σ = 139904335872000. Its totient is φ = 9459597312000.

The previous prime is 37134533987699. The next prime is 37134533987741. The reversal of 37134533987712 is 21778933543173.

37134533987712 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 4 + 533 + 9 + 87 + 7 + 12 = 666.

It is a super-2 number, since 2×37134533987712² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 37134533987712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92604822712 + ... + 92604823112.

It is an arithmetic number, because the mean of its divisors is an integer number (68312664000).

Almost surely, 2^{37134533987712} is an apocalyptic number.

37134533987712 is a gapful number since it is divisible by the number (32) 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 37134533987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69952167936000).

37134533987712 is an abundant number, since it is smaller than the sum of its proper divisors (102769801884288).

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

37134533987712 is a wasteful number, since it uses less digits than its factorization.

37134533987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 37134533987712 in words is "thirty-seven trillion, one hundred thirty-four billion, five hundred thirty-three million, nine hundred eighty-seven thousand, seven hundred twelve".