145254816 has 288 divisors, whose sum is σ = 510209280. Its totient is φ = 40061952.

The previous prime is 145254799. The next prime is 145254869. The reversal of 145254816 is 618452541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989756 + ... + 1989828.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^145254816 is an apocalyptic number.

145254816 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 145254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

145254816 is an abundant number, since it is smaller than the sum of its proper divisors (364954464).

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

145254816 is a wasteful number, since it uses less digits than its factorization.

145254816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145254816 is about 12052.1705928849. The cubic root of 145254816 is about 525.6663538755. Note that the first 3 decimals are identical.

It can be divided in two parts, 145254 and 816, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145254816 in words is "one hundred forty-five million, two hundred fifty-four thousand, eight hundred sixteen".