145214000 has 80 divisors (see below), whose sum is σ = 371869056. Its totient is φ = 54656000.

The previous prime is 145213997. The next prime is 145214039. The reversal of 145214000 is 412541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 145214000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31865 + ... + 36135.

Almost surely, 2^145214000 is an apocalyptic number.

145214000 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 145214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185934528).

145214000 is an abundant number, since it is smaller than the sum of its proper divisors (226655056).

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

145214000 is a wasteful number, since it uses less digits than its factorization.

145214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 145214000 is about 12050.4771689755. The cubic root of 145214000 is about 525.6171125757.

Adding to 145214000 its reverse (412541), we get a palindrome (145626541).

The spelling of 145214000 in words is "one hundred forty-five million, two hundred fourteen thousand".