146826432 has 112 divisors (see below), whose sum is σ = 437388000. Its totient is φ = 48895488.

The previous prime is 146826431. The next prime is 146826461. The reversal of 146826432 is 234628641.

146826432 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 2 + 643 + 2 = 666.

It is a super-2 number, since 2×146826432² = 43116002267701248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (146826431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139444 + ... + 140492.

It is an arithmetic number, because the mean of its divisors is an integer number (3905250).

Almost surely, 2^146826432 is an apocalyptic number.

146826432 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 146826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218694000).

146826432 is an abundant number, since it is smaller than the sum of its proper divisors (290561568).

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

146826432 is an frugal number, since it uses more digits than its factorization.

146826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1054 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 146826432 is about 12117.1957151810. The cubic root of 146826432 is about 527.5554108739. Note that the first 3 decimals are identical.

The spelling of 146826432 in words is "one hundred forty-six million, eight hundred twenty-six thousand, four hundred thirty-two".