146780273640 has 1024 divisors, whose sum is σ = 631585382400. Its totient is φ = 26276659200.

The previous prime is 146780273639. The next prime is 146780273677. The reversal of 146780273640 is 46372087641.

It is a happy number.

146780273640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146780273640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166606000 + ... + 166606880.

It is an arithmetic number, because the mean of its divisors is an integer number (616782600).

Almost surely, 2^146780273640 is an apocalyptic number.

146780273640 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 146780273640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315792691200).

146780273640 is an abundant number, since it is smaller than the sum of its proper divisors (484805108760).

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

146780273640 is a wasteful number, since it uses less digits than its factorization.

146780273640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 146780273640 in words is "one hundred forty-six billion, seven hundred eighty million, two hundred seventy-three thousand, six hundred forty".