146300750407140 has 192 divisors, whose sum is σ = 484969552058880. Its totient is φ = 32257989181440.

The previous prime is 146300750407093. The next prime is 146300750407171. The reversal of 146300750407140 is 41704057003641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 146300750407092 and 146300750407101.

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 63 ways as a sum of consecutive naturals, for example, 46197637 + ... + 49262796.

It is an arithmetic number, because the mean of its divisors is an integer number (2525883083640).

Almost surely, 2^{146300750407140} is an apocalyptic number.

146300750407140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146300750407140 is an abundant number, since it is smaller than the sum of its proper divisors (338668801651740).

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

146300750407140 is a wasteful number, since it uses less digits than its factorization.

146300750407140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95460582 (or 95460580 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 146300750407140 in words is "one hundred forty-six trillion, three hundred billion, seven hundred fifty million, four hundred seven thousand, one hundred forty".