146983770 has 96 divisors (see below), whose sum is σ = 398505744. Its totient is φ = 37555200.

The previous prime is 146983763. The next prime is 146983789. The reversal of 146983770 is 77389641.

It can be written as a sum of positive squares in 8 ways, for example, as 16641 + 146967129 = 129^2 + 12123^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 224764 + ... + 225416.

Almost surely, 2^146983770 is an apocalyptic number.

146983770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146983770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199252872).

146983770 is an abundant number, since it is smaller than the sum of its proper divisors (251521974).

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

146983770 is a wasteful number, since it uses less digits than its factorization.

146983770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 146983770 is about 12123.6863205875. The cubic root of 146983770 is about 527.7437849534.

The spelling of 146983770 in words is "one hundred forty-six million, nine hundred eighty-three thousand, seven hundred seventy".