146141520 has 360 divisors, whose sum is σ = 572847264. Its totient is φ = 30707712.

The previous prime is 146141519. The next prime is 146141557. The reversal of 146141520 is 25141641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3398619 + ... + 3398661.

Almost surely, 2^146141520 is an apocalyptic number.

146141520 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 146141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286423632).

146141520 is an abundant number, since it is smaller than the sum of its proper divisors (426705744).

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

146141520 is a wasteful number, since it uses less digits than its factorization.

146141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 146141520 is about 12088.9006944387. The cubic root of 146141520 is about 526.7338232653.

The spelling of 146141520 in words is "one hundred forty-six million, one hundred forty-one thousand, five hundred twenty".