145251000 has 96 divisors (see below), whose sum is σ = 490978800. Its totient is φ = 38731200.

The previous prime is 145250951. The next prime is 145251013. The reversal of 145251000 is 152541.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931 + ... + 17069.

Almost surely, 2^145251000 is an apocalyptic number.

145251000 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 145251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245489400).

145251000 is an abundant number, since it is smaller than the sum of its proper divisors (345727800).

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

145251000 is a wasteful number, since it uses less digits than its factorization.

145251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16166 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 145251000 is about 12052.0122801132. The cubic root of 145251000 is about 525.6617505620.

The spelling of 145251000 in words is "one hundred forty-five million, two hundred fifty-one thousand".