146814408 has 96 divisors (see below), whose sum is σ = 432726840. Its totient is φ = 44697600.

The previous prime is 146814407. The next prime is 146814491. The reversal of 146814408 is 804418641.

It can be written as a sum of positive squares in 4 ways, for example, as 109872324 + 36942084 = 10482^2 + 6078^2 .

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

It is not an unprimeable number, because it can be changed into a prime (146814407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93760 + ... + 95312.

Almost surely, 2^146814408 is an apocalyptic number.

146814408 is a gapful number since it is divisible by the number (18) 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 146814408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216363420).

146814408 is an abundant number, since it is smaller than the sum of its proper divisors (285912432).

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

146814408 is a wasteful number, since it uses less digits than its factorization.

146814408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 146814408 is about 12116.6995506202. The cubic root of 146814408 is about 527.5410095173.

It can be divided in two parts, 1468 and 14408, that added together give a square (15876 = 126²).

The spelling of 146814408 in words is "one hundred forty-six million, eight hundred fourteen thousand, four hundred eight".