145059552 has 96 divisors (see below), whose sum is σ = 461583360. Its totient is φ = 43954560.

The previous prime is 145059529. The next prime is 145059553. The reversal of 145059552 is 255950541.

145059552 is a `hidden beast` number, since 1 + 4 + 50 + 59 + 552 = 666.

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

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 (145059553) 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, 1873 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2^145059552 is an apocalyptic number.

145059552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230791680).

145059552 is an abundant number, since it is smaller than the sum of its proper divisors (316523808).

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

145059552 is a wasteful number, since it uses less digits than its factorization.

145059552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15293 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 145059552 is about 12044.0670871596. The cubic root of 145059552 is about 525.4306996271.

The spelling of 145059552 in words is "one hundred forty-five million, fifty-nine thousand, five hundred fifty-two".