146317680 has 120 divisors (see below), whose sum is σ = 496405728. Its totient is φ = 38619648.

The previous prime is 146317669. The next prime is 146317681. The reversal of 146317680 is 86713641.

146317680 is a `hidden beast` number, since 14 + 631 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146317681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73174 + ... + 75146.

Almost surely, 2^146317680 is an apocalyptic number.

146317680 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 146317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248202864).

146317680 is an abundant number, since it is smaller than the sum of its proper divisors (350088048).

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

146317680 is a wasteful number, since it uses less digits than its factorization.

146317680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 146317680 is about 12096.1845224021. The cubic root of 146317680 is about 526.9453811494.

The spelling of 146317680 in words is "one hundred forty-six million, three hundred seventeen thousand, six hundred eighty".