146027520 has 132 divisors (see below), whose sum is σ = 506141220. Its totient is φ = 38928384.

The previous prime is 146027513. The next prime is 146027549. The reversal of 146027520 is 25720641.

146027520 is a `hidden beast` number, since 1 + 4 + 602 + 7 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 57517056 = 9408^2 + 7584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44496 + ... + 47664.

Almost surely, 2^146027520 is an apocalyptic number.

146027520 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 146027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253070610).

146027520 is an abundant number, since it is smaller than the sum of its proper divisors (360113700).

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

146027520 is a wasteful number, since it uses less digits than its factorization.

146027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 146027520 is about 12084.1847056390. The cubic root of 146027520 is about 526.5968252916.

It can be divided in two parts, 14602 and 7520, that added together give a palindrome (22122).

The spelling of 146027520 in words is "one hundred forty-six million, twenty-seven thousand, five hundred twenty".