146057688 has 128 divisors (see below), whose sum is σ = 479808000. Its totient is φ = 40279680.

The previous prime is 146057663. The next prime is 146057689. The reversal of 146057688 is 886750641.

It is a happy number.

146057688 is a `hidden beast` number, since 14 + 60 + 576 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146057689) by changing a digit.

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, 42183 + ... + 45513.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^146057688 is an apocalyptic number.

146057688 is a gapful number since it is divisible by the number (18) 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 146057688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

146057688 is an abundant number, since it is smaller than the sum of its proper divisors (333750312).

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

146057688 is a wasteful number, since it uses less digits than its factorization.

146057688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 146057688 is about 12085.4328842619. The cubic root of 146057688 is about 526.6330862173.

Subtracting from 146057688 its product of nonzero digits (322560), we obtain a triangular number (145735128 = T₁₇₀₇₂).

The spelling of 146057688 in words is "one hundred forty-six million, fifty-seven thousand, six hundred eighty-eight".