146814420 has 96 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 37851264.

The previous prime is 146814407. The next prime is 146814491. The reversal of 146814420 is 24418641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 236871 + ... + 237489.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^146814420 is an apocalyptic number.

146814420 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 146814420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

146814420 is an abundant number, since it is smaller than the sum of its proper divisors (278158380).

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

146814420 is a wasteful number, since it uses less digits than its factorization.

146814420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 146814420 is about 12116.7000458046. The cubic root of 146814420 is about 527.5410238903.

The spelling of 146814420 in words is "one hundred forty-six million, eight hundred fourteen thousand, four hundred twenty".