146257260 has 96 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 37847040.

The previous prime is 146257259. The next prime is 146257261. The reversal of 146257260 is 62752641.

146257260 is digitally balanced in base 3, 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 (146257259) and next prime (146257261).

It is a super-2 number, since 2×146257260² = 42782372205415200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146257261) 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, 325516 + ... + 325964.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2^146257260 is an apocalyptic number.

146257260 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 146257260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

146257260 is an abundant number, since it is smaller than the sum of its proper divisors (275590740).

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

146257260 is a wasteful number, since it uses less digits than its factorization.

146257260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 146257260 is about 12093.6867827805. The cubic root of 146257260 is about 526.8728393957.

The spelling of 146257260 in words is "one hundred forty-six million, two hundred fifty-seven thousand, two hundred sixty".