153105408 has 132 divisors (see below), whose sum is σ = 455048100. Its totient is φ = 49545216.

The previous prime is 153105389. The next prime is 153105419. The reversal of 153105408 is 804501351.

153105408 is a `hidden beast` number, since 153 + 105 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117679104 + 35426304 = 10848^2 + 5952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340768 + ... + 341216.

Almost surely, 2^153105408 is an apocalyptic number.

153105408 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 153105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227524050).

153105408 is an abundant number, since it is smaller than the sum of its proper divisors (301942692).

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

153105408 is a wasteful number, since it uses less digits than its factorization.

153105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 153105408 is about 12373.5770090948. The cubic root of 153105408 is about 534.9709222267.

Adding to 153105408 its reverse (804501351), we get a palindrome (957606759).

The spelling of 153105408 in words is "one hundred fifty-three million, one hundred five thousand, four hundred eight".