145896192 has 108 divisors (see below), whose sum is σ = 453105744. Its totient is φ = 44881920.

The previous prime is 145896169. The next prime is 145896211. The reversal of 145896192 is 291698541.

145896192 is a `hidden beast` number, since 1 + 4 + 589 + 61 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27517 + ... + 32387.

Almost surely, 2^145896192 is an apocalyptic number.

145896192 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 145896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226552872).

145896192 is an abundant number, since it is smaller than the sum of its proper divisors (307209552).

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

145896192 is a wasteful number, since it uses less digits than its factorization.

145896192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4889 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 145896192 is about 12078.7496041602. The cubic root of 145896192 is about 526.4389152163.

The spelling of 145896192 in words is "one hundred forty-five million, eight hundred ninety-six thousand, one hundred ninety-two".