146145920 has 32 divisors (see below), whose sum is σ = 349381620. Its totient is φ = 58458112.

The previous prime is 146145919. The next prime is 146145941. The reversal of 146145920 is 29541641.

It can be written as a sum of positive squares in 2 ways, for example, as 141514816 + 4631104 = 11896^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113537 + ... + 114816.

Almost surely, 2^146145920 is an apocalyptic number.

146145920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146145920 is an abundant number, since it is smaller than the sum of its proper divisors (203235700).

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

146145920 is an equidigital number, since it uses as much as digits as its factorization.

146145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228372 (or 228360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 146145920 is about 12089.0826781853. The cubic root of 146145920 is about 526.7391094782.

The spelling of 146145920 in words is "one hundred forty-six million, one hundred forty-five thousand, nine hundred twenty".