146436032 has 56 divisors (see below), whose sum is σ = 309103776. Its totient is φ = 68676608.

The previous prime is 146436019. The next prime is 146436089. The reversal of 146436032 is 230634641.

146436032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146436032² = 42887022935810048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146435986 and 146436004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77078 + ... + 78954.

Almost surely, 2^146436032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154551888).

146436032 is an abundant number, since it is smaller than the sum of its proper divisors (162667744).

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

146436032 is a wasteful number, since it uses less digits than its factorization.

146436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 146436032 is about 12101.0756546681. The cubic root of 146436032 is about 527.0874196513.

The spelling of 146436032 in words is "one hundred forty-six million, four hundred thirty-six thousand, thirty-two".