146873952 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 44250624.

The previous prime is 146873927. The next prime is 146873957. The reversal of 146873952 is 259378641.

It is a junction number, because it is equal to n+sod(n) for n = 146873898 and 146873907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146873957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377374 + ... + 377762.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^146873952 is an apocalyptic number.

146873952 is a gapful number since it is divisible by the number (12) 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 146873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

146873952 is an abundant number, since it is smaller than the sum of its proper divisors (324870048).

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

146873952 is a wasteful number, since it uses less digits than its factorization.

146873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 146873952 is about 12119.1564062851. The cubic root of 146873952 is about 527.6123187225.

The spelling of 146873952 in words is "one hundred forty-six million, eight hundred seventy-three thousand, nine hundred fifty-two".