146286672 has 80 divisors (see below), whose sum is σ = 446816640. Its totient is φ = 40352256.

The previous prime is 146286667. The next prime is 146286697. The reversal of 146286672 is 276682641.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 2238 + ... + 17250.

It is an arithmetic number, because the mean of its divisors is an integer number (5585208).

Almost surely, 2^146286672 is an apocalyptic number.

146286672 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 146286672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223408320).

146286672 is an abundant number, since it is smaller than the sum of its proper divisors (300529968).

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

146286672 is a wasteful number, since it uses less digits than its factorization.

146286672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060 (or 15054 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 146286672 is about 12094.9027280090. The cubic root of 146286672 is about 526.9081546689.

The spelling of 146286672 in words is "one hundred forty-six million, two hundred eighty-six thousand, six hundred seventy-two".