146414988 has 72 divisors (see below), whose sum is σ = 394430400. Its totient is φ = 45661536.

The previous prime is 146414963. The next prime is 146415023. The reversal of 146414988 is 889414641.

146414988 is a `hidden beast` number, since 146 + 414 + 98 + 8 = 666.

It is a super-2 number, since 2×146414988² = 42874697422080288, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 55483 + ... + 58061.

It is an arithmetic number, because the mean of its divisors is an integer number (5478200).

Almost surely, 2^146414988 is an apocalyptic number.

146414988 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 146414988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197215200).

146414988 is an abundant number, since it is smaller than the sum of its proper divisors (248015412).

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

146414988 is a wasteful number, since it uses less digits than its factorization.

146414988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2686 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 146414988 is about 12100.2061139470. The cubic root of 146414988 is about 527.0621695839.

The spelling of 146414988 in words is "one hundred forty-six million, four hundred fourteen thousand, nine hundred eighty-eight".