145838029608 has 512 divisors, whose sum is σ = 471188275200. Its totient is φ = 41513472000.

The previous prime is 145838029607. The next prime is 145838029609. The reversal of 145838029608 is 806920838541.

145838029608 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 3 + 8 + 0 + 29 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (145838029607) and next prime (145838029609).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145838029607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138760683 + ... + 138761733.

It is an arithmetic number, because the mean of its divisors is an integer number (920289600).

Almost surely, 2^145838029608 is an apocalyptic number.

145838029608 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 145838029608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235594137600).

145838029608 is an abundant number, since it is smaller than the sum of its proper divisors (325350245592).

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

145838029608 is a wasteful number, since it uses less digits than its factorization.

145838029608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 145838029608 in words is "one hundred forty-five billion, eight hundred thirty-eight million, twenty-nine thousand, six hundred eight".