145829196 has 72 divisors (see below), whose sum is σ = 392333760. Its totient is φ = 45513216.

The previous prime is 145829191. The next prime is 145829207. The reversal of 145829196 is 691928541.

145829196 is a `hidden beast` number, since 1 + 458 + 2 + 9 + 196 = 666.

It is not an unprimeable number, because it can be changed into a prime (145829191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145770 + ... + 146766.

It is an arithmetic number, because the mean of its divisors is an integer number (5449080).

Almost surely, 2^145829196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145829196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196166880).

145829196 is an abundant number, since it is smaller than the sum of its proper divisors (246504564).

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

145829196 is a wasteful number, since it uses less digits than its factorization.

145829196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

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

The square root of 145829196 is about 12075.9759854018. The cubic root of 145829196 is about 526.3583220652.

The spelling of 145829196 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, one hundred ninety-six".