146213540544 has 224 divisors, whose sum is σ = 417900404736. Its totient is φ = 45021450240.

The previous prime is 146213540533. The next prime is 146213540573. The reversal of 146213540544 is 445045312641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11665609 + ... + 11678135.

Almost surely, 2^146213540544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146213540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208950202368).

146213540544 is an abundant number, since it is smaller than the sum of its proper divisors (271686864192).

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

146213540544 is a wasteful number, since it uses less digits than its factorization.

146213540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 146213540544 in words is "one hundred forty-six billion, two hundred thirteen million, five hundred forty thousand, five hundred forty-four".