145206864 has 80 divisors (see below), whose sum is σ = 454703040. Its totient is φ = 44000640.

The previous prime is 145206781. The next prime is 145206869. The reversal of 145206864 is 468602541.

145206864 is a `hidden beast` number, since 14 + 520 + 68 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145206869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10527 + ... + 20030.

It is an arithmetic number, because the mean of its divisors is an integer number (5683788).

Almost surely, 2^145206864 is an apocalyptic number.

It is an amenable number.

145206864 is an abundant number, since it is smaller than the sum of its proper divisors (309496176).

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

145206864 is a wasteful number, since it uses less digits than its factorization.

145206864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30585 (or 30573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145206864 is about 12050.1810774776. The cubic root of 145206864 is about 525.6085026043.

It can be divided in two parts, 145206 and 864, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145206864 in words is "one hundred forty-five million, two hundred six thousand, eight hundred sixty-four".