145947120 has 160 divisors (see below), whose sum is σ = 502467840. Its totient is φ = 34744320.

The previous prime is 145947119. The next prime is 145947127. The reversal of 145947120 is 21749541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145947127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155292 + ... + 156228.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 2^145947120 is an apocalyptic number.

145947120 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 145947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

145947120 is an abundant number, since it is smaller than the sum of its proper divisors (356520720).

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

145947120 is a wasteful number, since it uses less digits than its factorization.

145947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 145947120 is about 12080.8575854531. The cubic root of 145947120 is about 526.5001627872.

The spelling of 145947120 in words is "one hundred forty-five million, nine hundred forty-seven thousand, one hundred twenty".