145756704 has 96 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 46112000.

The previous prime is 145756703. The next prime is 145756711. The reversal of 145756704 is 407657541.

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

It is not an unprimeable number, because it can be changed into a prime (145756703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554077 + ... + 554339.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2^145756704 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 145756704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

145756704 is an abundant number, since it is smaller than the sum of its proper divisors (256604640).

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

145756704 is a wasteful number, since it uses less digits than its factorization.

145756704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 145756704 is about 12072.9741157678. The cubic root of 145756704 is about 526.2710896662.

The spelling of 145756704 in words is "one hundred forty-five million, seven hundred fifty-six thousand, seven hundred four".