145350720 has 112 divisors (see below), whose sum is σ = 512795520. Its totient is φ = 38757888.

The previous prime is 145350713. The next prime is 145350721. The reversal of 145350720 is 27053541.

It is a happy number.

It is a super-2 number, since 2×145350720² = 42253663609036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145350721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 17051.

Almost surely, 2^145350720 is an apocalyptic number.

145350720 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 145350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256397760).

145350720 is an abundant number, since it is smaller than the sum of its proper divisors (367444800).

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

145350720 is a wasteful number, since it uses less digits than its factorization.

145350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 145350720 is about 12056.1486387652. The cubic root of 145350720 is about 525.7820182332.

It can be divided in two parts, 145350 and 720, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145350720 in words is "one hundred forty-five million, three hundred fifty thousand, seven hundred twenty".