146361335800 has 96 divisors (see below), whose sum is σ = 358459200000. Its totient is φ = 55423128960.

The previous prime is 146361335789. The next prime is 146361335851. The reversal of 146361335800 is 8533163641.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 5531001 + ... + 5557399.

It is an arithmetic number, because the mean of its divisors is an integer number (3733950000).

Almost surely, 2^146361335800 is an apocalyptic number.

146361335800 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 146361335800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179229600000).

146361335800 is an abundant number, since it is smaller than the sum of its proper divisors (212097864200).

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

146361335800 is a wasteful number, since it uses less digits than its factorization.

146361335800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27893 (or 27884 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 146361335800 in words is "one hundred forty-six billion, three hundred sixty-one million, three hundred thirty-five thousand, eight hundred".