146940355584 has 385 divisors, whose sum is σ = 482671867579. Its totient is φ = 44527380480.

The previous prime is 146940355571. The next prime is 146940355603. The reversal of 146940355584 is 485553049641.

The square root of 146940355584 is 383328.

It is a perfect power (a square), and thus also a powerful number.

146940355584 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 4 + 0 + 3 + 55 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 146940355584.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 13358214139 + ... + 13358214149.

Almost surely, 2^146940355584 is an apocalyptic number.

146940355584 is the 383328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146940355584

146940355584 is an abundant number, since it is smaller than the sum of its proper divisors (335731511995).

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

146940355584 is an frugal number, since it uses more digits than its factorization.

146940355584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 146940355584 in words is "one hundred forty-six billion, nine hundred forty million, three hundred fifty-five thousand, five hundred eighty-four".