145762560 has 108 divisors (see below), whose sum is σ = 504363132. Its totient is φ = 38866944.

The previous prime is 145762559. The next prime is 145762583. The reversal of 145762560 is 65267541.

It is a happy number.

145762560 is a `hidden beast` number, since 1 + 4 + 576 + 25 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 128323584 = 4176^2 + 11328^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5194 + ... + 17846.

It is an arithmetic number, because the mean of its divisors is an integer number (4670029).

Almost surely, 2^145762560 is an apocalyptic number.

145762560 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 145762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252181566).

145762560 is an abundant number, since it is smaller than the sum of its proper divisors (358600572).

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

145762560 is a wasteful number, since it uses less digits than its factorization.

145762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 145762560 is about 12073.2166384937. The cubic root of 145762560 is about 526.2781374889.

The spelling of 145762560 in words is "one hundred forty-five million, seven hundred sixty-two thousand, five hundred sixty".