145581952 has 64 divisors (see below), whose sum is σ = 315302400. Its totient is φ = 66700800.

The previous prime is 145581923. The next prime is 145581967. The reversal of 145581952 is 259185541.

145581952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74427 + ... + 76357.

It is an arithmetic number, because the mean of its divisors is an integer number (4926600).

Almost surely, 2^145581952 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 145581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651200).

145581952 is an abundant number, since it is smaller than the sum of its proper divisors (169720448).

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

145581952 is a wasteful number, since it uses less digits than its factorization.

145581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1983 counting only the distinct ones).

The product of its digits is 72000, while the sum is 40.

The square root of 145581952 is about 12065.7346233041. The cubic root of 145581952 is about 526.0606849269.

The spelling of 145581952 in words is "one hundred forty-five million, five hundred eighty-one thousand, nine hundred fifty-two".