146801346400 has 144 divisors (see below), whose sum is σ = 370149683904. Its totient is φ = 56817492480.

The previous prime is 146801346379. The next prime is 146801346421. The reversal of 146801346400 is 4643108641.

It is an interprime number because it is at equal distance from previous prime (146801346379) and next prime (146801346421).

It is a self number, because there is not a number n which added to its sum of digits gives 146801346400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3660859 + ... + 3700741.

It is an arithmetic number, because the mean of its divisors is an integer number (2570483916).

Almost surely, 2^146801346400 is an apocalyptic number.

146801346400 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 146801346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185074841952).

146801346400 is an abundant number, since it is smaller than the sum of its proper divisors (223348337504).

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

146801346400 is a wasteful number, since it uses less digits than its factorization.

146801346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40053 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 146801346400 in words is "one hundred forty-six billion, eight hundred one million, three hundred forty-six thousand, four hundred".