145888820 has 96 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 44697600.

The previous prime is 145888819. The next prime is 145888843. The reversal of 145888820 is 28888541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93164 + ... + 94716.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2^145888820 is an apocalyptic number.

145888820 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 145888820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

145888820 is an abundant number, since it is smaller than the sum of its proper divisors (242586316).

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

145888820 is a wasteful number, since it uses less digits than its factorization.

145888820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The square root of 145888820 is about 12078.4444362674. Note that the first 4 decimals coincide. The cubic root of 145888820 is about 526.4300482427.

The spelling of 145888820 in words is "one hundred forty-five million, eight hundred eighty-eight thousand, eight hundred twenty".