145192896 has 84 divisors (see below), whose sum is σ = 421321992. Its totient is φ = 47798784.

The previous prime is 145192891. The next prime is 145192913. The reversal of 145192896 is 698291541.

145192896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145192891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46290 + ... + 49326.

It is an arithmetic number, because the mean of its divisors is an integer number (5015738).

Almost surely, 2^145192896 is an apocalyptic number.

145192896 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 145192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210660996).

145192896 is an abundant number, since it is smaller than the sum of its proper divisors (276129096).

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

145192896 is a wasteful number, since it uses less digits than its factorization.

145192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3125 counting only the distinct ones).

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

The square root of 145192896 is about 12049.6014871862. The cubic root of 145192896 is about 525.5916486375.

The spelling of 145192896 in words is "one hundred forty-five million, one hundred ninety-two thousand, eight hundred ninety-six".