37145354013936 has 1120 divisors, whose sum is σ = 132369442099200. Its totient is φ = 10075036608000.

The previous prime is 37145354013917. The next prime is 37145354013941. The reversal of 37145354013936 is 63931045354173.

37145354013936 is a `hidden beast` number, since 3 + 7 + 1 + 4 + 5 + 3 + 540 + 1 + 3 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6573232711 + ... + 6573238361.

Almost surely, 2^{37145354013936} is an apocalyptic number.

37145354013936 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 37145354013936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66184721049600).

37145354013936 is an abundant number, since it is smaller than the sum of its proper divisors (95224088085264).

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

37145354013936 is an equidigital number, since it uses as much as digits as its factorization.

37145354013936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 37145354013936 in words is "thirty-seven trillion, one hundred forty-five billion, three hundred fifty-four million, thirteen thousand, nine hundred thirty-six".