145887428880 has 60 divisors (see below), whose sum is σ = 489938617740. Its totient is φ = 38903314176.

The previous prime is 145887428879. The next prime is 145887428881. The reversal of 145887428880 is 88824788541.

145887428880 is a `hidden beast` number, since 1 + 4 + 58 + 87 + 428 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (145887428879) and next prime (145887428881).

It can be written as a sum of positive squares in 2 ways, for example, as 51869151504 + 94018277376 = 227748^2 + 306624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×145887428880³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145887428881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101309995 + ... + 101311434.

It is an arithmetic number, because the mean of its divisors is an integer number (8165643629).

Almost surely, 2^145887428880 is an apocalyptic number.

145887428880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145887428880 is an abundant number, since it is smaller than the sum of its proper divisors (344051188860).

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

145887428880 is a wasteful number, since it uses less digits than its factorization.

145887428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202621448 (or 202621439 counting only the distinct ones).

The product of its (nonzero) digits is 36700160, while the sum is 63.

The spelling of 145887428880 in words is "one hundred forty-five billion, eight hundred eighty-seven million, four hundred twenty-eight thousand, eight hundred eighty".