146593872 has 60 divisors (see below), whose sum is σ = 411471060. Its totient is φ = 48720384.

The previous prime is 146593871. The next prime is 146593897. The reversal of 146593872 is 278395641.

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 48108096 = 9924^2 + 6936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146593871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54708 + ... + 57324.

It is an arithmetic number, because the mean of its divisors is an integer number (6857851).

Almost surely, 2^146593872 is an apocalyptic number.

146593872 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 146593872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205735530).

146593872 is an abundant number, since it is smaller than the sum of its proper divisors (264877188).

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

146593872 is a wasteful number, since it uses less digits than its factorization.

146593872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 146593872 is about 12107.5956324945. The cubic root of 146593872 is about 527.2767300817.

The spelling of 146593872 in words is "one hundred forty-six million, five hundred ninety-three thousand, eight hundred seventy-two".