146849760 has 168 divisors, whose sum is σ = 520574040. Its totient is φ = 39128832.

The previous prime is 146849749. The next prime is 146849771. The reversal of 146849760 is 67948641.

It is an interprime number because it is at equal distance from previous prime (146849749) and next prime (146849771).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 116011 + ... + 117269.

It is an arithmetic number, because the mean of its divisors is an integer number (3098655).

Almost surely, 2^146849760 is an apocalyptic number.

146849760 is a gapful number since it is divisible by the number (10) 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 146849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260287020).

146849760 is an abundant number, since it is smaller than the sum of its proper divisors (373724280).

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

146849760 is an equidigital number, since it uses as much as digits as its factorization.

146849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146849760 is about 12118.1582759098. The cubic root of 146849760 is about 527.5833489882.

The spelling of 146849760 in words is "one hundred forty-six million, eight hundred forty-nine thousand, seven hundred sixty".