145154880 has 168 divisors, whose sum is σ = 537816552. Its totient is φ = 35721216.

The previous prime is 145154869. The next prime is 145154899. The reversal of 145154880 is 88451541.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 145154304 = 24^2 + 12048^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35502 + ... + 39378.

It is an arithmetic number, because the mean of its divisors is an integer number (3201289).

Almost surely, 2^145154880 is an apocalyptic number.

145154880 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 145154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268908276).

145154880 is an abundant number, since it is smaller than the sum of its proper divisors (392661672).

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

145154880 is a wasteful number, since it uses less digits than its factorization.

145154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145154880 is about 12048.0239043588. The cubic root of 145154880 is about 525.5457725724.

The spelling of 145154880 in words is "one hundred forty-five million, one hundred fifty-four thousand, eight hundred eighty".