145256760 has 128 divisors (see below), whose sum is σ = 528249600. Its totient is φ = 35210880.

The previous prime is 145256719. The next prime is 145256777. The reversal of 145256760 is 67652541.

It is a happy number.

145256760 is a `hidden beast` number, since 14 + 525 + 67 + 60 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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, 5767 + ... + 17993.

It is an arithmetic number, because the mean of its divisors is an integer number (4126950).

Almost surely, 2^145256760 is an apocalyptic number.

145256760 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 145256760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264124800).

145256760 is an abundant number, since it is smaller than the sum of its proper divisors (382992840).

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

145256760 is a wasteful number, since it uses less digits than its factorization.

145256760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12248 counting only the distinct ones).

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

The square root of 145256760 is about 12052.2512419879. The cubic root of 145256760 is about 525.6686989288.

The spelling of 145256760 in words is "one hundred forty-five million, two hundred fifty-six thousand, seven hundred sixty".