14137561152000 has 3360 divisors, whose sum is σ = 62819804114496. Its totient is φ = 3144241152000.

The previous prime is 14137561151999. The next prime is 14137561152107. The reversal of 14137561152000 is 25116573141.

14137561152000 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 75 + 61 + 1 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 86733503919 + ... + 86733504081.

Almost surely, 2^{14137561152000} is an apocalyptic number.

14137561152000 is a gapful number since it is divisible by the number (10) 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 14137561152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31409902057248).

14137561152000 is an abundant number, since it is smaller than the sum of its proper divisors (48682242962496).

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

14137561152000 is an equidigital number, since it uses as much as digits as its factorization.

14137561152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 14137561152000 in words is "fourteen trillion, one hundred thirty-seven billion, five hundred sixty-one million, one hundred fifty-two thousand".