145552992 has 96 divisors (see below), whose sum is σ = 414102528. Its totient is φ = 44499456.

The previous prime is 145552991. The next prime is 145553069. The reversal of 145552992 is 299255541.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145552991) 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, 278043 + ... + 278565.

It is an arithmetic number, because the mean of its divisors is an integer number (4313568).

Almost surely, 2^145552992 is an apocalyptic number.

145552992 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 145552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207051264).

145552992 is an abundant number, since it is smaller than the sum of its proper divisors (268549536).

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

145552992 is a wasteful number, since it uses less digits than its factorization.

145552992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 145552992 is about 12064.5344709193. The cubic root of 145552992 is about 526.0258002737.

The spelling of 145552992 in words is "one hundred forty-five million, five hundred fifty-two thousand, nine hundred ninety-two".