146973275850240 has 1920 divisors, whose sum is σ = 641271056025600. Its totient is φ = 31493388238848.

The previous prime is 146973275850227. The next prime is 146973275850251. The reversal of 146973275850240 is 42058572379641.

It is a happy number.

146973275850240 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 7 + 3 + 2 + 7 + 585 + 0 + 2 + 40 = 666.

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

It is a super-2 number, since 2×146973275850240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19469233986 + ... + 19469241534.

It is an arithmetic number, because the mean of its divisors is an integer number (333995341680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅146973275850240 = 293946551700480, but 3⋅146973275850240 = 440919827550720 is not.

Almost surely, 2^{146973275850240} is an apocalyptic number.

146973275850240 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 146973275850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320635528012800).

146973275850240 is an abundant number, since it is smaller than the sum of its proper divisors (494297780175360).

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

146973275850240 is an equidigital number, since it uses as much as digits as its factorization.

146973275850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 146973275850240 in words is "one hundred forty-six trillion, nine hundred seventy-three billion, two hundred seventy-five million, eight hundred fifty thousand, two hundred forty".