146797488 has 80 divisors (see below), whose sum is σ = 422889600. Its totient is φ = 48755520.

The previous prime is 146797471. The next prime is 146797489. The reversal of 146797488 is 884797641.

It is a happy number.

146797488 is a `hidden beast` number, since 14 + 67 + 97 + 488 = 666.

It is a super-2 number, since 2×146797488² = 43099004966220288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146797489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180603 + ... + 181413.

It is an arithmetic number, because the mean of its divisors is an integer number (5286120).

Almost surely, 2^146797488 is an apocalyptic number.

146797488 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 146797488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211444800).

146797488 is an abundant number, since it is smaller than the sum of its proper divisors (276092112).

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

146797488 is a wasteful number, since it uses less digits than its factorization.

146797488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 146797488 is about 12116.0013205678. The cubic root of 146797488 is about 527.5207428034.

The spelling of 146797488 in words is "one hundred forty-six million, seven hundred ninety-seven thousand, four hundred eighty-eight".