145127808 has 192 divisors, whose sum is σ = 498841200. Its totient is φ = 41416704.

The previous prime is 145127783. The next prime is 145127849. The reversal of 145127808 is 808721541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×145127808⁴ (a number of 34 digits) contains 4444 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 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 23 ways as a sum of consecutive naturals, for example, 168916 + ... + 169772.

Almost surely, 2^145127808 is an apocalyptic number.

145127808 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 145127808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249420600).

145127808 is an abundant number, since it is smaller than the sum of its proper divisors (353713392).

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

145127808 is an equidigital number, since it uses as much as digits as its factorization.

145127808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 145127808 is about 12046.9003482224. The cubic root of 145127808 is about 525.5130983701.

The spelling of 145127808 in words is "one hundred forty-five million, one hundred twenty-seven thousand, eight hundred eight".