146487918821760 has 1920 divisors, whose sum is σ = 572259341808000. Its totient is φ = 35687525253120.

The previous prime is 146487918821731. The next prime is 146487918821801. The reversal of 146487918821760 is 67128819784641.

146487918821760 is a `hidden beast` number, since 1 + 4 + 6 + 487 + 9 + 1 + 8 + 82 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×146487918821760³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72197100426 + ... + 72197102454.

It is an arithmetic number, because the mean of its divisors is an integer number (298051740525).

Almost surely, 2^{146487918821760} is an apocalyptic number.

146487918821760 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 146487918821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286129670904000).

146487918821760 is an abundant number, since it is smaller than the sum of its proper divisors (425771422986240).

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

146487918821760 is a wasteful number, since it uses less digits than its factorization.

146487918821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 146487918821760 in words is "one hundred forty-six trillion, four hundred eighty-seven billion, nine hundred eighteen million, eight hundred twenty-one thousand, seven hundred sixty".