146256516 has 120 divisors (see below), whose sum is σ = 444776640. Its totient is φ = 41041728.

The previous prime is 146256497. The next prime is 146256533. The reversal of 146256516 is 615652641.

146256516 is a `hidden beast` number, since 14 + 625 + 6 + 5 + 16 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133266 + ... + 134358.

It is an arithmetic number, because the mean of its divisors is an integer number (3706472).

Almost surely, 2^146256516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146256516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222388320).

146256516 is an abundant number, since it is smaller than the sum of its proper divisors (298520124).

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

146256516 is a wasteful number, since it uses less digits than its factorization.

146256516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 146256516 is about 12093.6560228907. The cubic root of 146256516 is about 526.8719460063.

The spelling of 146256516 in words is "one hundred forty-six million, two hundred fifty-six thousand, five hundred sixteen".