146916 has 72 divisors (see below), whose sum is σ = 471744. Its totient is φ = 37440.

The previous prime is 146893. The next prime is 146917. The reversal of 146916 is 619641.

It is a super-2 number, since 2×146916² = 43168622112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 146916.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146916.

It is not an unprimeable number, because it can be changed into a prime (146917) by changing a digit.

146916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹⁴⁶⁹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

146916 is an abundant number, since it is smaller than the sum of its proper divisors (324828).

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

146916 is a wasteful number, since it uses less digits than its factorization.

146916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 146916 is about 383.2962300884. The cubic root of 146916 is about 52.7662663311.

It can be divided in two parts, 1469 and 16, that added together give a triangular number (1485 = T₅₄).

The spelling of 146916 in words is "one hundred forty-six thousand, nine hundred sixteen".