145387008 has 160 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 44679168.

The previous prime is 145387001. The next prime is 145387037. The reversal of 145387008 is 800783541.

It is a super-2 number, since 2×145387008² = 42274764190384128, which contains 22 as substring.

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 (145387001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179308 + ... + 180116.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^145387008 is an apocalyptic number.

145387008 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 145387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

145387008 is an abundant number, since it is smaller than the sum of its proper divisors (318645792).

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

145387008 is an equidigital number, since it uses as much as digits as its factorization.

145387008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145387008 is about 12057.6535030660. The cubic root of 145387008 is about 525.8257698575.

The spelling of 145387008 in words is "one hundred forty-five million, three hundred eighty-seven thousand, eight".