146451672 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 45492480.

The previous prime is 146451623. The next prime is 146451673. The reversal of 146451672 is 276154641.

146451672 is a `hidden beast` number, since 1 + 4 + 645 + 1 + 6 + 7 + 2 = 666.

146451672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146451673) 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, 203329 + ... + 204047.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^146451672 is an apocalyptic number.

146451672 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 146451672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

146451672 is an abundant number, since it is smaller than the sum of its proper divisors (289004328).

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

146451672 is a wasteful number, since it uses less digits than its factorization.

146451672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 146451672 is about 12101.7218609585. The cubic root of 146451672 is about 527.1061840535.

The spelling of 146451672 in words is "one hundred forty-six million, four hundred fifty-one thousand, six hundred seventy-two".