145700880 has 320 divisors, whose sum is σ = 535465728. Its totient is φ = 32440320.

The previous prime is 145700833. The next prime is 145700881. The reversal of 145700880 is 88007541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145700881) 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 63 ways as a sum of consecutive naturals, for example, 2174607 + ... + 2174673.

Almost surely, 2^145700880 is an apocalyptic number.

145700880 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 145700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

145700880 is an abundant number, since it is smaller than the sum of its proper divisors (389764848).

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

145700880 is a wasteful number, since it uses less digits than its factorization.

145700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 145700880 is about 12070.6619536793. The cubic root of 145700880 is about 526.2038947953.

The spelling of 145700880 in words is "one hundred forty-five million, seven hundred thousand, eight hundred eighty".