146257920 has 288 divisors, whose sum is σ = 543488400. Its totient is φ = 37306368.

The previous prime is 146257913. The next prime is 146257957. The reversal of 146257920 is 29752641.

146257920 is a `hidden beast` number, since 1 + 4 + 62 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 23 ways as a sum of consecutive naturals, for example, 6359029 + ... + 6359051.

Almost surely, 2^146257920 is an apocalyptic number.

146257920 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 146257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271744200).

146257920 is an abundant number, since it is smaller than the sum of its proper divisors (397230480).

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

146257920 is an equidigital number, since it uses as much as digits as its factorization.

146257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 146257920 is about 12093.7140697141. The cubic root of 146257920 is about 526.8736319160.

The spelling of 146257920 in words is "one hundred forty-six million, two hundred fifty-seven thousand, nine hundred twenty".