146394054000 has 400 divisors, whose sum is σ = 536073114720. Its totient is φ = 38500531200.

The previous prime is 146394053959. The next prime is 146394054007. The reversal of 146394054000 is 450493641.

146394054000 is a `hidden beast` number, since 1 + 46 + 39 + 40 + 540 + 0 + 0 = 666.

146394054000 is digitally balanced in base 2 and base 3, because in such bases 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 (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146394054007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11819811 + ... + 11832189.

Almost surely, 2^146394054000 is an apocalyptic number.

146394054000 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 146394054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268036557360).

146394054000 is an abundant number, since it is smaller than the sum of its proper divisors (389679060720).

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

146394054000 is a wasteful number, since it uses less digits than its factorization.

146394054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 146394054000 in words is "one hundred forty-six billion, three hundred ninety-four million, fifty-four thousand".