146354006560 has 96 divisors (see below), whose sum is σ = 350070698880. Its totient is φ = 57813583872.

The previous prime is 146354006537. The next prime is 146354006563. The reversal of 146354006560 is 65600453641.

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

It is not an unprimeable number, because it can be changed into a prime (146354006563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12625087 + ... + 12636673.

It is an arithmetic number, because the mean of its divisors is an integer number (3646569780).

Almost surely, 2^146354006560 is an apocalyptic number.

146354006560 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 146354006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175035349440).

146354006560 is an abundant number, since it is smaller than the sum of its proper divisors (203716692320).

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

146354006560 is a wasteful number, since it uses less digits than its factorization.

146354006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 146354006560 in words is "one hundred forty-six billion, three hundred fifty-four million, six thousand, five hundred sixty".