151982714016000 has 3456 divisors, whose sum is σ = 689311011916800. Its totient is φ = 32294987366400.

The previous prime is 151982714015969. The next prime is 151982714016073. The reversal of 151982714016000 is 610417289151.

151982714016000 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 8 + 27 + 14 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155560607512 + ... + 155560608488.

It is an arithmetic number, because the mean of its divisors is an integer number (199453417800).

Almost surely, 2^{151982714016000} is an apocalyptic number.

151982714016000 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 151982714016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344655505958400).

151982714016000 is an abundant number, since it is smaller than the sum of its proper divisors (537328297900800).

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

151982714016000 is an equidigital number, since it uses as much as digits as its factorization.

151982714016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 151982714016000 in words is "one hundred fifty-one trillion, nine hundred eighty-two billion, seven hundred fourteen million, sixteen thousand".