146532672 has 224 divisors, whose sum is σ = 506943360. Its totient is φ = 40919040.

The previous prime is 146532667. The next prime is 146532703. The reversal of 146532672 is 276235641.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246808 + ... + 247400.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2^146532672 is an apocalyptic number.

146532672 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 146532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

146532672 is an abundant number, since it is smaller than the sum of its proper divisors (360410688).

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

146532672 is a wasteful number, since it uses less digits than its factorization.

146532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 146532672 is about 12105.0680295486. The cubic root of 146532672 is about 527.2033440502.

The spelling of 146532672 in words is "one hundred forty-six million, five hundred thirty-two thousand, six hundred seventy-two".