146855688 has 64 divisors (see below), whose sum is σ = 422952960. Its totient is φ = 41622336.

The previous prime is 146855663. The next prime is 146855689. The reversal of 146855688 is 886558641.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146855688.

It is not an unprimeable number, because it can be changed into a prime (146855689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17895 + ... + 24777.

It is an arithmetic number, because the mean of its divisors is an integer number (6608640).

Almost surely, 2^146855688 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 146855688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211476480).

146855688 is an abundant number, since it is smaller than the sum of its proper divisors (276097272).

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

146855688 is a wasteful number, since it uses less digits than its factorization.

146855688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7022 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The square root of 146855688 is about 12118.4028650644. The cubic root of 146855688 is about 527.5904480170.

The spelling of 146855688 in words is "one hundred forty-six million, eight hundred fifty-five thousand, six hundred eighty-eight".