145460720 has 80 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 56754432.

The previous prime is 145460699. The next prime is 145460741. The reversal of 145460720 is 27064541.

145460720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145460699) and next prime (145460741).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×145460720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046411 + ... + 1046549.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^145460720 is an apocalyptic number.

145460720 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 145460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

145460720 is an abundant number, since it is smaller than the sum of its proper divisors (201183760).

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

145460720 is a wasteful number, since it uses less digits than its factorization.

145460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 145460720 is about 12060.7097635255. The cubic root of 145460720 is about 525.9146203471.

The spelling of 145460720 in words is "one hundred forty-five million, four hundred sixty thousand, seven hundred twenty".