146201120 has 48 divisors (see below), whose sum is σ = 371974680. Its totient is φ = 53981184.

The previous prime is 146201117. The next prime is 146201123. The reversal of 146201120 is 21102641.

It is an interprime number because it is at equal distance from previous prime (146201117) and next prime (146201123).

It can be written as a sum of positive squares in 4 ways, for example, as 133726096 + 12475024 = 11564^2 + 3532^2 .

It is not an unprimeable number, because it can be changed into a prime (146201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33065 + ... + 37224.

Almost surely, 2^146201120 is an apocalyptic number.

146201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146201120 is an abundant number, since it is smaller than the sum of its proper divisors (225773560).

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

146201120 is a wasteful number, since it uses less digits than its factorization.

146201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70317 (or 70309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 146201120 is about 12091.3655142833. The cubic root of 146201120 is about 526.8054184085.

Adding to 146201120 its reverse (21102641), we get a palindrome (167303761).

The spelling of 146201120 in words is "one hundred forty-six million, two hundred one thousand, one hundred twenty".