146952960 has 432 divisors, whose sum is σ = 603977472. Its totient is φ = 30105600.

The previous prime is 146952931. The next prime is 146952977. The reversal of 146952960 is 69259641.

It is a happy number.

146952960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069725 + ... + 2069795.

It is an arithmetic number, because the mean of its divisors is an integer number (1398096).

Almost surely, 2^146952960 is an apocalyptic number.

146952960 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 146952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301988736).

146952960 is an abundant number, since it is smaller than the sum of its proper divisors (457024512).

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

146952960 is a wasteful number, since it uses less digits than its factorization.

146952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 146952960 is about 12122.4156008611. The cubic root of 146952960 is about 527.7069080423.

The spelling of 146952960 in words is "one hundred forty-six million, nine hundred fifty-two thousand, nine hundred sixty".