145077000 has 128 divisors (see below), whose sum is σ = 465229440. Its totient is φ = 37612800.

The previous prime is 145076977. The next prime is 145077007. The reversal of 145077000 is 770541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145077007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110347 + ... + 111653.

It is an arithmetic number, because the mean of its divisors is an integer number (3634605).

Almost surely, 2^145077000 is an apocalyptic number.

145077000 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 145077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232614720).

145077000 is an abundant number, since it is smaller than the sum of its proper divisors (320152440).

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

145077000 is a wasteful number, since it uses less digits than its factorization.

145077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 145077000 is about 12044.7914054167. The cubic root of 145077000 is about 525.4517653370.

The spelling of 145077000 in words is "one hundred forty-five million, seventy-seven thousand".