145512096 has 48 divisors (see below), whose sum is σ = 383695200. Its totient is φ = 48284928.

The previous prime is 145512079. The next prime is 145512097. The reversal of 145512096 is 690215541.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (145512097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18675 + ... + 25293.

It is an arithmetic number, because the mean of its divisors is an integer number (7993650).

Almost surely, 2^145512096 is an apocalyptic number.

145512096 is a gapful number since it is divisible by the number (16) 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 145512096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191847600).

145512096 is an abundant number, since it is smaller than the sum of its proper divisors (238183104).

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

145512096 is a wasteful number, since it uses less digits than its factorization.

145512096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 145512096 is about 12062.8394667259. The cubic root of 145512096 is about 525.9765298650.

The spelling of 145512096 in words is "one hundred forty-five million, five hundred twelve thousand, ninety-six".