146401340500 has 48 divisors (see below), whose sum is σ = 319956318864. Its totient is φ = 58521014400.

The previous prime is 146401340447. The next prime is 146401340513. The reversal of 146401340500 is 5043104641.

It can be written as a sum of positive squares in 8 ways, for example, as 11108316816 + 135293023684 = 105396^2 + 367822^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648442 + ... + 844558.

It is an arithmetic number, because the mean of its divisors is an integer number (6665756643).

Almost surely, 2^146401340500 is an apocalyptic number.

146401340500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146401340500 is an abundant number, since it is smaller than the sum of its proper divisors (173554978364).

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

146401340500 is a wasteful number, since it uses less digits than its factorization.

146401340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197629 (or 197617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 146401340500 in words is "one hundred forty-six billion, four hundred one million, three hundred forty thousand, five hundred".