145118688 has 216 divisors, whose sum is σ = 465939432. Its totient is φ = 39283200.

The previous prime is 145118669. The next prime is 145118689. The reversal of 145118688 is 886811541.

Its product of digits (61440) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145118689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4681233 + ... + 4681263.

It is an arithmetic number, because the mean of its divisors is an integer number (2157127).

Almost surely, 2^145118688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145118688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232969716).

145118688 is an abundant number, since it is smaller than the sum of its proper divisors (320820744).

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

145118688 is a wasteful number, since it uses less digits than its factorization.

145118688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The square root of 145118688 is about 12046.5218216712. The cubic root of 145118688 is about 525.5020901884.

The spelling of 145118688 in words is "one hundred forty-five million, one hundred eighteen thousand, six hundred eighty-eight".