1371535362144 has 72 divisors (see below), whose sum is σ = 3903821550720. Its totient is φ = 456766103808.

The previous prime is 1371535362139. The next prime is 1371535362199. The reversal of 1371535362144 is 4412635351731.

1371535362144 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 53 + 536 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1371535362144² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1371535362144.

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 11 ways as a sum of consecutive naturals, for example, 1827712 + ... + 2466495.

It is an arithmetic number, because the mean of its divisors is an integer number (54219743760).

Almost surely, 2^{1371535362144} is an apocalyptic number.

It is an amenable number.

1371535362144 is an abundant number, since it is smaller than the sum of its proper divisors (2532286188576).

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

1371535362144 is a wasteful number, since it uses less digits than its factorization.

1371535362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295332 (or 4295321 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 1371535362144 in words is "one trillion, three hundred seventy-one billion, five hundred thirty-five million, three hundred sixty-two thousand, one hundred forty-four".