146397888 has 448 divisors, whose sum is σ = 568960000. Its totient is φ = 36578304.

The previous prime is 146397883. The next prime is 146397893. The reversal of 146397888 is 888793641.

It is an interprime number because it is at equal distance from previous prime (146397883) and next prime (146397893).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×146397888² = 42864683221721088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146397883) 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 63 ways as a sum of consecutive naturals, for example, 7705143 + ... + 7705161.

It is an arithmetic number, because the mean of its divisors is an integer number (1270000).

Almost surely, 2^146397888 is an apocalyptic number.

146397888 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 146397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284480000).

146397888 is an abundant number, since it is smaller than the sum of its proper divisors (422562112).

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

146397888 is a wasteful number, since it uses less digits than its factorization.

146397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 146397888 is about 12099.4994937807. The cubic root of 146397888 is about 527.0416500225.

The spelling of 146397888 in words is "one hundred forty-six million, three hundred ninety-seven thousand, eight hundred eighty-eight".