146312347434000 has 240 divisors, whose sum is σ = 518492267704320. Its totient is φ = 35469659808000.

The previous prime is 146312347433983. The next prime is 146312347434059. The reversal of 146312347434000 is 434743213641.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100040080 + ... + 101492079.

It is an arithmetic number, because the mean of its divisors is an integer number (2160384448768).

Almost surely, 2^{146312347434000} is an apocalyptic number.

146312347434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146312347434000 is an abundant number, since it is smaller than the sum of its proper divisors (372179920270320).

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

146312347434000 is a wasteful number, since it uses less digits than its factorization.

146312347434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201532207 (or 201532180 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 146312347434000 in words is "one hundred forty-six trillion, three hundred twelve billion, three hundred forty-seven million, four hundred thirty-four thousand".