146909488560 has 160 divisors (see below), whose sum is σ = 470447032320. Its totient is φ = 37884979200.

The previous prime is 146909488559. The next prime is 146909488567. The reversal of 146909488560 is 65884909641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 146909488494 and 146909488503.

It is not an unprimeable number, because it can be changed into a prime (146909488567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11681956 + ... + 11694524.

It is an arithmetic number, because the mean of its divisors is an integer number (2940293952).

Almost surely, 2^146909488560 is an apocalyptic number.

146909488560 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 146909488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235223516160).

146909488560 is an abundant number, since it is smaller than the sum of its proper divisors (323537543760).

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

146909488560 is a wasteful number, since it uses less digits than its factorization.

146909488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 146909488560 in words is "one hundred forty-six billion, nine hundred nine million, four hundred eighty-eight thousand, five hundred sixty".