146061561145200 has 120 divisors (see below), whose sum is σ = 471455500619136. Its totient is φ = 38652423264000.

The previous prime is 146061561145187. The next prime is 146061561145243. The reversal of 146061561145200 is 2541165160641.

146061561145200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464415196 + ... + 464729595.

Almost surely, 2^{146061561145200} is an apocalyptic number.

146061561145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146061561145200 is an abundant number, since it is smaller than the sum of its proper divisors (325393939473936).

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

146061561145200 is a wasteful number, since it uses less digits than its factorization.

146061561145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929144943 (or 929144932 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 146061561145200 in words is "one hundred forty-six trillion, sixty-one billion, five hundred sixty-one million, one hundred forty-five thousand, two hundred".