146987107488000 has 3456 divisors, whose sum is σ = 628653283614720. Its totient is φ = 33898681958400.

The previous prime is 146987107487989. The next prime is 146987107488061. The reversal of 146987107488000 is 884701789641.

146987107488000 is a `hidden beast` number, since 1 + 4 + 69 + 87 + 10 + 7 + 488 + 0 + 0 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 197829215629 + ... + 197829216371.

Almost surely, 2^{146987107488000} is an apocalyptic number.

146987107488000 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 146987107488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314326641807360).

146987107488000 is an abundant number, since it is smaller than the sum of its proper divisors (481666176126720).

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

146987107488000 is a wasteful number, since it uses less digits than its factorization.

146987107488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 146987107488000 in words is "one hundred forty-six trillion, nine hundred eighty-seven billion, one hundred seven million, four hundred eighty-eight thousand".