146657984 has 56 divisors (see below), whose sum is σ = 325288656. Its totient is φ = 65024000.

The previous prime is 146657983. The next prime is 146657989. The reversal of 146657984 is 489756641.

It is a super-3 number, since 3×146657984³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (146657983) 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 7 ways as a sum of consecutive naturals, for example, 26324 + ... + 31404.

It is an arithmetic number, because the mean of its divisors is an integer number (5808726).

Almost surely, 2^146657984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162644328).

146657984 is an abundant number, since it is smaller than the sum of its proper divisors (178630672).

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

146657984 is a wasteful number, since it uses less digits than its factorization.

146657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 146657984 is about 12110.2429372825. The cubic root of 146657984 is about 527.3535860429.

The spelling of 146657984 in words is "one hundred forty-six million, six hundred fifty-seven thousand, nine hundred eighty-four".