146398720 has 160 divisors (see below), whose sum is σ = 389787552. Its totient is φ = 52396032.

The previous prime is 146398717. The next prime is 146398723. The reversal of 146398720 is 27893641.

It is an interprime number because it is at equal distance from previous prime (146398717) and next prime (146398723).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146398723) 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, 1763799 + ... + 1763881.

Almost surely, 2^146398720 is an apocalyptic number.

146398720 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 146398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776).

146398720 is an abundant number, since it is smaller than the sum of its proper divisors (243388832).

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

146398720 is an equidigital number, since it uses as much as digits as its factorization.

146398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 146398720 is about 12099.5338753193. The cubic root of 146398720 is about 527.0426484382.

The spelling of 146398720 in words is "one hundred forty-six million, three hundred ninety-eight thousand, seven hundred twenty".