145877760 has 432 divisors, whose sum is σ = 607117056. Its totient is φ = 32845824.

The previous prime is 145877741. The next prime is 145877777. The reversal of 145877760 is 67778541.

145877760 is a `hidden beast` number, since 1 + 4 + 587 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 2177247 + ... + 2177313.

Almost surely, 2^145877760 is an apocalyptic number.

145877760 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 145877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303558528).

145877760 is an abundant number, since it is smaller than the sum of its proper divisors (461239296).

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

145877760 is an frugal number, since it uses more digits than its factorization.

145877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 145877760 is about 12077.9865871759. The cubic root of 145877760 is about 526.4167448165.

The spelling of 145877760 in words is "one hundred forty-five million, eight hundred seventy-seven thousand, seven hundred sixty".