145766088 has 256 divisors, whose sum is σ = 474969600. Its totient is φ = 41057280.

The previous prime is 145766083. The next prime is 145766099. The reversal of 145766088 is 880667541.

It is a happy number.

145766088 is a `hidden beast` number, since 14 + 576 + 60 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (145766083) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2389578 + ... + 2389638.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^145766088 is an apocalyptic number.

145766088 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 145766088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

145766088 is an abundant number, since it is smaller than the sum of its proper divisors (329203512).

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

145766088 is a wasteful number, since it uses less digits than its factorization.

145766088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 145766088 is about 12073.3627461449. The cubic root of 145766088 is about 526.2823834222.

The spelling of 145766088 in words is "one hundred forty-five million, seven hundred sixty-six thousand, eighty-eight".