16137190656000 has 3072 divisors, whose sum is σ = 66882920832000. Its totient is φ = 3869835264000.

The previous prime is 16137190655977. The next prime is 16137190656029. The reversal of 16137190656000 is 65609173161.

16137190656000 is a `hidden beast` number, since 1 + 6 + 1 + 37 + 1 + 9 + 0 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 393590015980 + ... + 393590016020.

It is an arithmetic number, because the mean of its divisors is an integer number (21771784125).

Almost surely, 2^{16137190656000} is an apocalyptic number.

16137190656000 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 16137190656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33441460416000).

16137190656000 is an abundant number, since it is smaller than the sum of its proper divisors (50745730176000).

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

16137190656000 is an frugal number, since it uses more digits than its factorization.

16137190656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 16137190656000 in words is "sixteen trillion, one hundred thirty-seven billion, one hundred ninety million, six hundred fifty-six thousand".