145726000 has 120 divisors (see below), whose sum is σ = 410170176. Its totient is φ = 49929600.

The previous prime is 145725977. The next prime is 145726027. The reversal of 145726000 is 627541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97257 + ... + 98743.

Almost surely, 2^145726000 is an apocalyptic number.

145726000 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 145726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205085088).

145726000 is an abundant number, since it is smaller than the sum of its proper divisors (264444176).

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

145726000 is a wasteful number, since it uses less digits than its factorization.

145726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 145726000 is about 12071.7024482879. The cubic root of 145726000 is about 526.2341336479.

The spelling of 145726000 in words is "one hundred forty-five million, seven hundred twenty-six thousand".