146256016 has 40 divisors (see below), whose sum is σ = 294624000. Its totient is φ = 70258560.

The previous prime is 146256001. The next prime is 146256017. The reversal of 146256016 is 610652641.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (146256017) 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, 72915 + ... + 74893.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2^146256016 is an apocalyptic number.

146256016 is a gapful number since it is divisible by the number (16) 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 146256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147312000).

146256016 is an abundant number, since it is smaller than the sum of its proper divisors (148367984).

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

146256016 is a wasteful number, since it uses less digits than its factorization.

146256016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 146256016 is about 12093.6353508778. The cubic root of 146256016 is about 526.8713456085.

The spelling of 146256016 in words is "one hundred forty-six million, two hundred fifty-six thousand, sixteen".