145810368 has 140 divisors (see below), whose sum is σ = 471705432. Its totient is φ = 44167680.

The previous prime is 145810337. The next prime is 145810369. The reversal of 145810368 is 863018541.

145810368 is a `hidden beast` number, since 14 + 581 + 0 + 3 + 68 = 666.

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 (145810369) 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 19 ways as a sum of consecutive naturals, for example, 55746 + ... + 58302.

Almost surely, 2^145810368 is an apocalyptic number.

145810368 is a gapful number since it is divisible by the number (18) 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 145810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235852716).

145810368 is an abundant number, since it is smaller than the sum of its proper divisors (325895064).

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

145810368 is a wasteful number, since it uses less digits than its factorization.

145810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145810368 is about 12075.1963959184. The cubic root of 145810368 is about 526.3356683916.

It can be divided in two parts, 1458 and 10368, that multiplied together give a square (15116544 = 3888²).

The spelling of 145810368 in words is "one hundred forty-five million, eight hundred ten thousand, three hundred sixty-eight".