14755516137000 has 192 divisors, whose sum is σ = 50014940423760. Its totient is φ = 3923656704000.

The previous prime is 14755516136971. The next prime is 14755516137001. The reversal of 14755516137000 is 73161555741.

14755516137000 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 551 + 61 + 37 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 351988277796 + 14403527859204 = 593286^2 + 3795198^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14755516137001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854760 + ... + 5499240.

Almost surely, 2^{14755516137000} is an apocalyptic number.

14755516137000 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 14755516137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007470211880).

14755516137000 is an abundant number, since it is smaller than the sum of its proper divisors (35259424286760).

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

14755516137000 is a wasteful number, since it uses less digits than its factorization.

14755516137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644861 (or 4644844 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 14755516137000 in words is "fourteen trillion, seven hundred fifty-five billion, five hundred sixteen million, one hundred thirty-seven thousand".