146814240792240 has 360 divisors, whose sum is σ = 573682454785440. Its totient is φ = 33549750484992.

The previous prime is 146814240792217. The next prime is 146814240792313. The reversal of 146814240792240 is 42297042418641.

146814240792240 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 1 + 4 + 2 + 407 + 9 + 224 + 0 = 666.

146814240792240 is digitally balanced in base 2, 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 (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152175696 + ... + 153137424.

It is an arithmetic number, because the mean of its divisors is an integer number (1593562374404).

Almost surely, 2^{146814240792240} is an apocalyptic number.

146814240792240 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 146814240792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286841227392720).

146814240792240 is an abundant number, since it is smaller than the sum of its proper divisors (426868213993200).

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

146814240792240 is a wasteful number, since it uses less digits than its factorization.

146814240792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966089 (or 966073 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 146814240792240 in words is "one hundred forty-six trillion, eight hundred fourteen billion, two hundred forty million, seven hundred ninety-two thousand, two hundred forty".