146807316 has 60 divisors (see below), whose sum is σ = 386486100. Its totient is φ = 48591360.

The previous prime is 146807299. The next prime is 146807341. The reversal of 146807316 is 613708641.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 58522500 = 9396^2 + 7650^2 .

It is a super-2 number, since 2×146807316² = 43104776062247712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46756 + ... + 49796.

It is an arithmetic number, because the mean of its divisors is an integer number (6441435).

Almost surely, 2^146807316 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 146807316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193243050).

146807316 is an abundant number, since it is smaller than the sum of its proper divisors (239678784).

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

146807316 is a wasteful number, since it uses less digits than its factorization.

146807316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3195 counting only the distinct ones).

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

The square root of 146807316 is about 12116.4068931346. The cubic root of 146807316 is about 527.5325149353.

The spelling of 146807316 in words is "one hundred forty-six million, eight hundred seven thousand, three hundred sixteen".