145988700 has 288 divisors, whose sum is σ = 514467072. Its totient is φ = 31488000.

The previous prime is 145988693. The next prime is 145988701. The reversal of 145988700 is 7889541.

145988700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145988701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758859 + ... + 1758941.

It is an arithmetic number, because the mean of its divisors is an integer number (1786344).

Almost surely, 2^145988700 is an apocalyptic number.

145988700 is a gapful number since it is divisible by the number (10) 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 145988700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257233536).

145988700 is an abundant number, since it is smaller than the sum of its proper divisors (368478372).

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

145988700 is a wasteful number, since it uses less digits than its factorization.

145988700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 145988700 is about 12082.5783672195. The cubic root of 145988700 is about 526.5501576030.

The spelling of 145988700 in words is "one hundred forty-five million, nine hundred eighty-eight thousand, seven hundred".