145678500 has 288 divisors, whose sum is σ = 524684160. Its totient is φ = 34992000.

The previous prime is 145678471. The next prime is 145678501. The reversal of 145678500 is 5876541.

145678500 is a `hidden beast` number, since 14 + 567 + 85 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145678501) 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, 1336446 + ... + 1336554.

It is an arithmetic number, because the mean of its divisors is an integer number (1821820).

Almost surely, 2^145678500 is an apocalyptic number.

145678500 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 145678500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

145678500 is an abundant number, since it is smaller than the sum of its proper divisors (379005660).

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

145678500 is a wasteful number, since it uses less digits than its factorization.

145678500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 145678500 is about 12069.7348769557. The cubic root of 145678500 is about 526.1769513612.

The spelling of 145678500 in words is "one hundred forty-five million, six hundred seventy-eight thousand, five hundred".