37131681792000 has 912 divisors, whose sum is σ = 131371088516928. Its totient is φ = 9312193740800.

The previous prime is 37131681791957. The next prime is 37131681792043. The reversal of 37131681792000 is 29718613173.

It is an interprime number because it is at equal distance from previous prime (37131681791957) and next prime (37131681792043).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28409855347 + ... + 28409856653.

Almost surely, 2^{37131681792000} is an apocalyptic number.

37131681792000 is a gapful number since it is divisible by the number (30) 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 37131681792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65685544258464).

37131681792000 is an abundant number, since it is smaller than the sum of its proper divisors (94239406724928).

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

37131681792000 is an frugal number, since it uses more digits than its factorization.

37131681792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 37131681792000 in words is "thirty-seven trillion, one hundred thirty-one billion, six hundred eighty-one million, seven hundred ninety-two thousand".