145238720 has 140 divisors (see below), whose sum is σ = 392704320. Its totient is φ = 51110400.

The previous prime is 145238677. The next prime is 145238729. The reversal of 145238720 is 27832541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (145238729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4685105 + ... + 4685135.

Almost surely, 2^145238720 is an apocalyptic number.

145238720 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 145238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196352160).

145238720 is an abundant number, since it is smaller than the sum of its proper divisors (247465600).

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

145238720 is an frugal number, since it uses more digits than its factorization.

145238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 145238720 is about 12051.5028108531. The cubic root of 145238720 is about 525.6469364168.

The spelling of 145238720 in words is "one hundred forty-five million, two hundred thirty-eight thousand, seven hundred twenty".