146342645605200 has 240 divisors, whose sum is σ = 516464408215872. Its totient is φ = 35125747200000.

The previous prime is 146342645605171. The next prime is 146342645605207. The reversal of 146342645605200 is 2506546243641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146342645605200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146342645605207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53550781 + ... + 56217180.

Almost surely, 2^{146342645605200} is an apocalyptic number.

146342645605200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146342645605200 is an abundant number, since it is smaller than the sum of its proper divisors (370121762610672).

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

146342645605200 is a wasteful number, since it uses less digits than its factorization.

146342645605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109768094 (or 109768083 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 146342645605200 in words is "one hundred forty-six trillion, three hundred forty-two billion, six hundred forty-five million, six hundred five thousand, two hundred".