145858440 has 384 divisors, whose sum is σ = 583752960. Its totient is φ = 28366848.

The previous prime is 145858417. The next prime is 145858457. The reversal of 145858440 is 44858541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3942102 + ... + 3942138.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 2^145858440 is an apocalyptic number.

145858440 is a gapful number since it is divisible by the number (10) 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 145858440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

145858440 is an abundant number, since it is smaller than the sum of its proper divisors (437894520).

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

145858440 is a wasteful number, since it uses less digits than its factorization.

145858440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 145858440 is about 12077.1867585129. The cubic root of 145858440 is about 526.3935043067.

The spelling of 145858440 in words is "one hundred forty-five million, eight hundred fifty-eight thousand, four hundred forty".