146901186144000 has 1728 divisors, whose sum is σ = 583225469299200. Its totient is φ = 36313297920000.

The previous prime is 146901186143977. The next prime is 146901186144007. The reversal of 146901186144000 is 441681109641.

146901186144000 is a `hidden beast` number, since 1 + 4 + 6 + 90 + 118 + 6 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146901186144007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 36262941975 + ... + 36262946025.

Almost surely, 2^{146901186144000} is an apocalyptic number.

146901186144000 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 146901186144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291612734649600).

146901186144000 is an abundant number, since it is smaller than the sum of its proper divisors (436324283155200).

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

146901186144000 is an equidigital number, since it uses as much as digits as its factorization.

146901186144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 146901186144000 in words is "one hundred forty-six trillion, nine hundred one billion, one hundred eighty-six million, one hundred forty-four thousand".