145249560 has 96 divisors (see below), whose sum is σ = 478614240. Its totient is φ = 38195712.

The previous prime is 145249549. The next prime is 145249567. The reversal of 145249560 is 65942541.

145249560 is a `hidden beast` number, since 1 + 4 + 52 + 49 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145249567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23517 + ... + 29043.

It is an arithmetic number, because the mean of its divisors is an integer number (4985565).

Almost surely, 2^145249560 is an apocalyptic number.

145249560 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 145249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239307120).

145249560 is an abundant number, since it is smaller than the sum of its proper divisors (333364680).

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

145249560 is a wasteful number, since it uses less digits than its factorization.

145249560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145249560 is about 12051.9525389042. The cubic root of 145249560 is about 525.6600134416.

The spelling of 145249560 in words is "one hundred forty-five million, two hundred forty-nine thousand, five hundred sixty".