145457280 has 96 divisors (see below), whose sum is σ = 502302060. Its totient is φ = 38787072.

The previous prime is 145457269. The next prime is 145457297. The reversal of 145457280 is 82754541.

145457280 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 572 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138862656 + 6594624 = 11784^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6867 + ... + 18386.

Almost surely, 2^145457280 is an apocalyptic number.

145457280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145457280 is an abundant number, since it is smaller than the sum of its proper divisors (356844780).

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

145457280 is a wasteful number, since it uses less digits than its factorization.

145457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25278 (or 25263 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145457280 is about 12060.5671508433. The cubic root of 145457280 is about 525.9104745302.

The spelling of 145457280 in words is "one hundred forty-five million, four hundred fifty-seven thousand, two hundred eighty".