146970 has 48 divisors (see below), whose sum is σ = 404352. Its totient is φ = 36960.

The previous prime is 146953. The next prime is 146977. The reversal of 146970 is 79641.

146970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146970.

It is not an unprimeable number, because it can be changed into a prime (146977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2¹⁴⁶⁹⁷⁰ is an apocalyptic number.

146970 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 146970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176).

146970 is an abundant number, since it is smaller than the sum of its proper divisors (257382).

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

146970 is a wasteful number, since it uses less digits than its factorization.

146970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 146970 is about 383.3666652175. The cubic root of 146970 is about 52.7727304089.

It can be divided in two parts, 1 and 46970, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 146970 in words is "one hundred forty-six thousand, nine hundred seventy".