145880064 has 132 divisors (see below), whose sum is σ = 459838080. Its totient is φ = 44175360.

The previous prime is 145880047. The next prime is 145880071. The reversal of 145880064 is 460088541.

145880064 is a `hidden beast` number, since 14 + 588 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100657 + ... + 102095.

Almost surely, 2^145880064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229919040).

145880064 is an abundant number, since it is smaller than the sum of its proper divisors (313958016).

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

145880064 is a wasteful number, since it uses less digits than its factorization.

145880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145880064 is about 12078.0819669350. The cubic root of 145880064 is about 526.4195162186.

The spelling of 145880064 in words is "one hundred forty-five million, eight hundred eighty thousand, sixty-four".