146774016 has 72 divisors (see below), whose sum is σ = 423963540. Its totient is φ = 48918528.

The previous prime is 146774011. The next prime is 146774029. The reversal of 146774016 is 610477641.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×146774016² = 43085223545536512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146774011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14451 + ... + 22413.

Almost surely, 2^146774016 is an apocalyptic number.

146774016 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 146774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211981770).

146774016 is an abundant number, since it is smaller than the sum of its proper divisors (277189524).

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

146774016 is an equidigital number, since it uses as much as digits as its factorization.

146774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 146774016 is about 12115.0326454368. The cubic root of 146774016 is about 527.4926255492.

The spelling of 146774016 in words is "one hundred forty-six million, seven hundred seventy-four thousand, sixteen".