145414720 has 112 divisors (see below), whose sum is σ = 382219200. Its totient is φ = 52254720.

The previous prime is 145414627. The next prime is 145414721. The reversal of 145414720 is 27414541.

145414720 = 220² + 221² + ... + 764².

It is a super-2 number, since 2×145414720² = 42290881585356800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145414721) 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 15 ways as a sum of consecutive naturals, for example, 383491 + ... + 383869.

Almost surely, 2^145414720 is an apocalyptic number.

145414720 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 145414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191109600).

145414720 is an abundant number, since it is smaller than the sum of its proper divisors (236804480).

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

145414720 is a wasteful number, since it uses less digits than its factorization.

145414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 145414720 is about 12058.8025939560. The cubic root of 145414720 is about 525.8591766894.

The spelling of 145414720 in words is "one hundred forty-five million, four hundred fourteen thousand, seven hundred twenty".