146128632 has 64 divisors (see below), whose sum is σ = 400891680. Its totient is φ = 44109312.

The previous prime is 146128627. The next prime is 146128643. The reversal of 146128632 is 236821641.

146128632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146128593 and 146128602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12118 + ... + 20954.

Almost surely, 2^146128632 is an apocalyptic number.

146128632 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 146128632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200445840).

146128632 is an abundant number, since it is smaller than the sum of its proper divisors (254763048).

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

146128632 is a wasteful number, since it uses less digits than its factorization.

146128632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8908 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 146128632 is about 12088.3676317359. The cubic root of 146128632 is about 526.7183388566.

It can be divided in two parts, 146 and 128632, that added together give a triangular number (128778 = T₅₀₇).

The spelling of 146128632 in words is "one hundred forty-six million, one hundred twenty-eight thousand, six hundred thirty-two".