146249440 has 48 divisors (see below), whose sum is σ = 347085648. Its totient is φ = 58233856.

The previous prime is 146249437. The next prime is 146249449. The reversal of 146249440 is 44942641.

146249440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146249396 and 146249405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146249449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35319 + ... + 39241.

It is an arithmetic number, because the mean of its divisors is an integer number (7230951).

Almost surely, 2^146249440 is an apocalyptic number.

146249440 is a gapful number since it is divisible by the number (10) 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 146249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173542824).

146249440 is an abundant number, since it is smaller than the sum of its proper divisors (200836208).

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

146249440 is a wasteful number, since it uses less digits than its factorization.

146249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 146249440 is about 12093.3634692752. The cubic root of 146249440 is about 526.8634490492.

It can be divided in two parts, 146249 and 440, that added together give a square (146689 = 383²).

The spelling of 146249440 in words is "one hundred forty-six million, two hundred forty-nine thousand, four hundred forty".