145386416 has 80 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 59969280.

The previous prime is 145386401. The next prime is 145386421. The reversal of 145386416 is 614683541.

It is a super-2 number, since 2×145386416² = 42274419914650112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145386416.

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 15 ways as a sum of consecutive naturals, for example, 373550 + ... + 373938.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^145386416 is an apocalyptic number.

145386416 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 145386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

145386416 is an abundant number, since it is smaller than the sum of its proper divisors (188877904).

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

145386416 is a wasteful number, since it uses less digits than its factorization.

145386416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 145386416 is about 12057.6289543177. The cubic root of 145386416 is about 525.8250561549.

The spelling of 145386416 in words is "one hundred forty-five million, three hundred eighty-six thousand, four hundred sixteen".