146142720 has 120 divisors (see below), whose sum is σ = 506213136. Its totient is φ = 38965248.

The previous prime is 146142719. The next prime is 146142721. The reversal of 146142720 is 27241641.

146142720 is a `hidden beast` number, since 1 + 4 + 614 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (146142719) and next prime (146142721).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146142721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19869 + ... + 26211.

Almost surely, 2^146142720 is an apocalyptic number.

146142720 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 146142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253106568).

146142720 is an abundant number, since it is smaller than the sum of its proper divisors (360070416).

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

146142720 is an equidigital number, since it uses as much as digits as its factorization.

146142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146142720 is about 12088.9503266413. The cubic root of 146142720 is about 526.7352649702.

The spelling of 146142720 in words is "one hundred forty-six million, one hundred forty-two thousand, seven hundred twenty".