146938752 has 256 divisors, whose sum is σ = 478094400. Its totient is φ = 44236800.

The previous prime is 146938751. The next prime is 146938763. The reversal of 146938752 is 257839641.

It is a junction number, because it is equal to n+sod(n) for n = 146938698 and 146938707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146938751) 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, 2408802 + ... + 2408862.

Almost surely, 2^146938752 is an apocalyptic number.

146938752 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 146938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

146938752 is an abundant number, since it is smaller than the sum of its proper divisors (331155648).

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

146938752 is a wasteful number, since it uses less digits than its factorization.

146938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

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

The square root of 146938752 is about 12121.8295648800. The cubic root of 146938752 is about 527.6899005559.

The spelling of 146938752 in words is "one hundred forty-six million, nine hundred thirty-eight thousand, seven hundred fifty-two".