146912832 has 224 divisors, whose sum is σ = 482803200. Its totient is φ = 43430400.

The previous prime is 146912809. The next prime is 146912833. The reversal of 146912832 is 238219641.

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 (146912833) 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, 1121407 + ... + 1121537.

Almost surely, 2^146912832 is an apocalyptic number.

146912832 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 146912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

146912832 is an abundant number, since it is smaller than the sum of its proper divisors (335890368).

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

146912832 is a wasteful number, since it uses less digits than its factorization.

146912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 146912832 is about 12120.7603721879. The cubic root of 146912832 is about 527.6588705602.

The spelling of 146912832 in words is "one hundred forty-six million, nine hundred twelve thousand, eight hundred thirty-two".