145041408 has 192 divisors, whose sum is σ = 446846400. Its totient is φ = 46448640.

The previous prime is 145041401. The next prime is 145041409. The reversal of 145041408 is 804140541.

It is a happy number.

145041408 is a `hidden beast` number, since 14 + 504 + 140 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145041401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2377698 + ... + 2377758.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2^145041408 is an apocalyptic number.

145041408 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 145041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

145041408 is an abundant number, since it is smaller than the sum of its proper divisors (301804992).

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

145041408 is an equidigital number, since it uses as much as digits as its factorization.

145041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145041408 is about 12043.3138296733. The cubic root of 145041408 is about 525.4087918153.

Adding to 145041408 its reverse (804140541), we get a palindrome (949181949).

The spelling of 145041408 in words is "one hundred forty-five million, forty-one thousand, four hundred eight".