145631808 has 168 divisors, whose sum is σ = 502432320. Its totient is φ = 39398400.

The previous prime is 145631797. The next prime is 145631813. The reversal of 145631808 is 808136541.

145631808 is a `hidden beast` number, since 14 + 5 + 631 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75658 + ... + 77558.

Almost surely, 2^145631808 is an apocalyptic number.

145631808 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 145631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251216160).

145631808 is an abundant number, since it is smaller than the sum of its proper divisors (356800512).

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

145631808 is a wasteful number, since it uses less digits than its factorization.

145631808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145631808 is about 12067.8004623875. The cubic root of 145631808 is about 526.1207296596.

The spelling of 145631808 in words is "one hundred forty-five million, six hundred thirty-one thousand, eight hundred eight".