145980700 has 72 divisors (see below), whose sum is σ = 343384272. Its totient is φ = 53652480.

The previous prime is 145980677. The next prime is 145980707. The reversal of 145980700 is 7089541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145980707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72102 + ... + 74098.

It is an arithmetic number, because the mean of its divisors is an integer number (4769226).

Almost surely, 2^145980700 is an apocalyptic number.

145980700 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 145980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171692136).

145980700 is an abundant number, since it is smaller than the sum of its proper divisors (197403572).

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

145980700 is a wasteful number, since it uses less digits than its factorization.

145980700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 145980700 is about 12082.2473075169. The cubic root of 145980700 is about 526.5405393284.

The spelling of 145980700 in words is "one hundred forty-five million, nine hundred eighty thousand, seven hundred".