145894256567280 has 240 divisors, whose sum is σ = 544671892267776. Its totient is φ = 34753966755840.

The previous prime is 145894256567149. The next prime is 145894256567351. The reversal of 145894256567280 is 82765652498541.

It is a happy number.

145894256567280 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 9 + 4 + 2 + 56 + 567 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 145894256567199 and 145894256567208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251112957 + ... + 251693276.

Almost surely, 2^{145894256567280} is an apocalyptic number.

145894256567280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145894256567280 is an abundant number, since it is smaller than the sum of its proper divisors (398777635700496).

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

145894256567280 is a wasteful number, since it uses less digits than its factorization.

145894256567280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502806296 (or 502806287 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 145894256567280 in words is "one hundred forty-five trillion, eight hundred ninety-four billion, two hundred fifty-six million, five hundred sixty-seven thousand, two hundred eighty".