146253248736 has 48 divisors (see below), whose sum is σ = 438759748224. Its totient is φ = 41786642304.

The previous prime is 146253248719. The next prime is 146253248803. The reversal of 146253248736 is 637842352641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×146253248736³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108818710 + ... + 108820053.

It is an arithmetic number, because the mean of its divisors is an integer number (9140828088).

Almost surely, 2^146253248736 is an apocalyptic number.

146253248736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146253248736 is an abundant number, since it is smaller than the sum of its proper divisors (292506499488).

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

146253248736 is a wasteful number, since it uses less digits than its factorization.

146253248736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217638783 (or 217638775 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 146253248736 in words is "one hundred forty-six billion, two hundred fifty-three million, two hundred forty-eight thousand, seven hundred thirty-six".