146261718840 has 128 divisors (see below), whose sum is σ = 464842748160. Its totient is φ = 36689332224.

The previous prime is 146261718829. The next prime is 146261718851. The reversal of 146261718840 is 48817162641.

It is an interprime number because it is at equal distance from previous prime (146261718829) and next prime (146261718851).

It is a self number, because there is not a number n which added to its sum of digits gives 146261718840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4035439 + ... + 4071521.

It is an arithmetic number, because the mean of its divisors is an integer number (3631583970).

Almost surely, 2^146261718840 is an apocalyptic number.

146261718840 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 146261718840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232421374080).

146261718840 is an abundant number, since it is smaller than the sum of its proper divisors (318581029320).

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

146261718840 is a wasteful number, since it uses less digits than its factorization.

146261718840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38101 (or 38097 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 146261718840 in words is "one hundred forty-six billion, two hundred sixty-one million, seven hundred eighteen thousand, eight hundred forty".