145985760 has 192 divisors, whose sum is σ = 522547200. Its totient is φ = 38048256.

The previous prime is 145985753. The next prime is 145985767. The reversal of 145985760 is 67589541.

145985760 is a `hidden beast` number, since 1 + 4 + 598 + 57 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145985753) and next prime (145985767).

It is a super-3 number, since 3×145985760³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145985767) 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 31 ways as a sum of consecutive naturals, for example, 202681 + ... + 203399.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^145985760 is an apocalyptic number.

145985760 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 145985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

145985760 is an abundant number, since it is smaller than the sum of its proper divisors (376561440).

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

145985760 is a wasteful number, since it uses less digits than its factorization.

145985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 145985760 is about 12082.4567038330. The cubic root of 145985760 is about 526.5466229279.

The spelling of 145985760 in words is "one hundred forty-five million, nine hundred eighty-five thousand, seven hundred sixty".