14137527140352 has 2304 divisors, whose sum is σ = 56688676761600. Its totient is φ = 3344302080000.

The previous prime is 14137527140351. The next prime is 14137527140381. The reversal of 14137527140352 is 25304172573141.

14137527140352 is a `hidden beast` number, since 1 + 4 + 1 + 37 + 527 + 1 + 40 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 14137527140298 and 14137527140307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137527140351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93626007477 + ... + 93626007627.

It is an arithmetic number, because the mean of its divisors is an integer number (24604460400).

Almost surely, 2^{14137527140352} is an apocalyptic number.

14137527140352 is a gapful number since it is divisible by the number (12) 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 14137527140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28344338380800).

14137527140352 is an abundant number, since it is smaller than the sum of its proper divisors (42551149621248).

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

14137527140352 is a wasteful number, since it uses less digits than its factorization.

14137527140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 14137527140352 in words is "fourteen trillion, one hundred thirty-seven billion, five hundred twenty-seven million, one hundred forty thousand, three hundred fifty-two".