146531616 has 192 divisors, whose sum is σ = 491774976. Its totient is φ = 37094400.

The previous prime is 146531557. The next prime is 146531639. The reversal of 146531616 is 616135641.

146531616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 317626 + ... + 318086.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2^146531616 is an apocalyptic number.

146531616 is a gapful number since it is divisible by the number (16) 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 146531616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

146531616 is an abundant number, since it is smaller than the sum of its proper divisors (345243360).

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

146531616 is a wasteful number, since it uses less digits than its factorization.

146531616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 146531616 is about 12105.0244113756. The cubic root of 146531616 is about 527.2020776021.

The spelling of 146531616 in words is "one hundred forty-six million, five hundred thirty-one thousand, six hundred sixteen".