146046672 has 80 divisors (see below), whose sum is σ = 428186880. Its totient is φ = 47639808.

The previous prime is 146046631. The next prime is 146046713. The reversal of 146046672 is 276640641.

146046672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146046631) and next prime (146046713).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16708 + ... + 23900.

It is an arithmetic number, because the mean of its divisors is an integer number (5352336).

Almost surely, 2^146046672 is an apocalyptic number.

146046672 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 146046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214093440).

146046672 is an abundant number, since it is smaller than the sum of its proper divisors (282140208).

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

146046672 is a wasteful number, since it uses less digits than its factorization.

146046672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 146046672 is about 12084.9771203755. The cubic root of 146046672 is about 526.6198459330.

The spelling of 146046672 in words is "one hundred forty-six million, forty-six thousand, six hundred seventy-two".