145204704 has 96 divisors (see below), whose sum is σ = 441987840. Its totient is φ = 46290816.

The previous prime is 145204699. The next prime is 145204733. The reversal of 145204704 is 407402541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 16219 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2^145204704 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 145204704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920).

145204704 is an abundant number, since it is smaller than the sum of its proper divisors (296783136).

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

145204704 is a wasteful number, since it uses less digits than its factorization.

145204704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 145204704 is about 12050.0914519351. The cubic root of 145204704 is about 525.6058963914.

The spelling of 145204704 in words is "one hundred forty-five million, two hundred four thousand, seven hundred four".