145164576 has 48 divisors (see below), whose sum is σ = 389176704. Its totient is φ = 47357184.

The previous prime is 145164571. The next prime is 145164577. The reversal of 145164576 is 675461541.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (145164571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11575 + ... + 20598.

It is an arithmetic number, because the mean of its divisors is an integer number (8107848).

Almost surely, 2^145164576 is an apocalyptic number.

145164576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145164576 is an abundant number, since it is smaller than the sum of its proper divisors (244012128).

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

145164576 is a wasteful number, since it uses less digits than its factorization.

145164576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32233 (or 32225 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 145164576 is about 12048.4262872792. The cubic root of 145164576 is about 525.5574740468.

The spelling of 145164576 in words is "one hundred forty-five million, one hundred sixty-four thousand, five hundred seventy-six".