145574016 has 128 divisors (see below), whose sum is σ = 456437760. Its totient is φ = 40227840.

The previous prime is 145574003. The next prime is 145574053. The reversal of 145574016 is 610475541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82455 + ... + 84201.

It is an arithmetic number, because the mean of its divisors is an integer number (3565920).

Almost surely, 2^145574016 is an apocalyptic number.

145574016 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 145574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228218880).

145574016 is an abundant number, since it is smaller than the sum of its proper divisors (310863744).

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

145574016 is a wasteful number, since it uses less digits than its factorization.

145574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 145574016 is about 12065.4057536413. The cubic root of 145574016 is about 526.0511258358.

The spelling of 145574016 in words is "one hundred forty-five million, five hundred seventy-four thousand, sixteen".