146060342754200 has 192 divisors, whose sum is σ = 388426410547200. Its totient is φ = 50036146099200.

The previous prime is 146060342754191. The next prime is 146060342754239. The reversal of 146060342754200 is 2457243060641.

146060342754200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9915160835 + ... + 9915175565.

It is an arithmetic number, because the mean of its divisors is an integer number (2023054221600).

Almost surely, 2^{146060342754200} is an apocalyptic number.

146060342754200 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 146060342754200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194213205273600).

146060342754200 is an abundant number, since it is smaller than the sum of its proper divisors (242366067793000).

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

146060342754200 is a wasteful number, since it uses less digits than its factorization.

146060342754200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20170 (or 20161 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 146060342754200 in words is "one hundred forty-six trillion, sixty billion, three hundred forty-two million, seven hundred fifty-four thousand, two hundred".