146457920 has 112 divisors (see below), whose sum is σ = 402140928. Its totient is φ = 49766400.

The previous prime is 146457887. The next prime is 146457937. The reversal of 146457920 is 29754641.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 338024 + ... + 338456.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2^146457920 is an apocalyptic number.

146457920 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 146457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201070464).

146457920 is an abundant number, since it is smaller than the sum of its proper divisors (255683008).

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

146457920 is a wasteful number, since it uses less digits than its factorization.

146457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 146457920 is about 12101.9800032887. The cubic root of 146457920 is about 527.1136798427.

The spelling of 146457920 in words is "one hundred forty-six million, four hundred fifty-seven thousand, nine hundred twenty".