145095552 has 192 divisors, whose sum is σ = 502819200. Its totient is φ = 39232512.

The previous prime is 145095547. The next prime is 145095563. The reversal of 145095552 is 255590541.

145095552 is a `hidden beast` number, since 14 + 5 + 0 + 95 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 152743 + ... + 153689.

It is an arithmetic number, because the mean of its divisors is an integer number (2618850).

Almost surely, 2^145095552 is an apocalyptic number.

145095552 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 145095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251409600).

145095552 is an abundant number, since it is smaller than the sum of its proper divisors (357723648).

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

145095552 is a wasteful number, since it uses less digits than its factorization.

145095552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

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

The square root of 145095552 is about 12045.5615062146. The cubic root of 145095552 is about 525.4741621002.

The spelling of 145095552 in words is "one hundred forty-five million, ninety-five thousand, five hundred fifty-two".