146875541754240 has 768 divisors, whose sum is σ = 548143742764800. Its totient is φ = 36025120604160.

The previous prime is 146875541754119. The next prime is 146875541754323. The reversal of 146875541754240 is 42457145578641.

146875541754240 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 7 + 5 + 5 + 41 + 7 + 542 + 40 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 28359823971 + ... + 28359829149.

It is an arithmetic number, because the mean of its divisors is an integer number (713728831725).

Almost surely, 2^{146875541754240} is an apocalyptic number.

146875541754240 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 146875541754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274071871382400).

146875541754240 is an abundant number, since it is smaller than the sum of its proper divisors (401268201010560).

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

146875541754240 is a wasteful number, since it uses less digits than its factorization.

146875541754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 146875541754240 in words is "one hundred forty-six trillion, eight hundred seventy-five billion, five hundred forty-one million, seven hundred fifty-four thousand, two hundred forty".