145012560 has 480 divisors, whose sum is σ = 610675200. Its totient is φ = 28062720.

The previous prime is 145012523. The next prime is 145012597. The reversal of 145012560 is 65210541.

It is an interprime number because it is at equal distance from previous prime (145012523) and next prime (145012597).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145012560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457811 + ... + 2457869.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^145012560 is an apocalyptic number.

145012560 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 145012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

145012560 is an abundant number, since it is smaller than the sum of its proper divisors (465662640).

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

145012560 is a wasteful number, since it uses less digits than its factorization.

145012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145012560 is about 12042.1160931125. The cubic root of 145012560 is about 525.3739557915.

The spelling of 145012560 in words is "one hundred forty-five million, twelve thousand, five hundred sixty".