146440301700 has 1152 divisors, whose sum is σ = 588762316800. Its totient is φ = 27184896000.

The previous prime is 146440301671. The next prime is 146440301701. The reversal of 146440301700 is 7103044641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (146440301701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 639477186 + ... + 639477414.

It is an arithmetic number, because the mean of its divisors is an integer number (511078400).

Almost surely, 2^146440301700 is an apocalyptic number.

146440301700 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 146440301700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294381158400).

146440301700 is an abundant number, since it is smaller than the sum of its proper divisors (442322015100).

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

146440301700 is a wasteful number, since it uses less digits than its factorization.

146440301700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 146440301700 in words is "one hundred forty-six billion, four hundred forty million, three hundred one thousand, seven hundred".