145829376 has 320 divisors, whose sum is σ = 542108160. Its totient is φ = 37601280.

The previous prime is 145829329. The next prime is 145829377. The reversal of 145829376 is 673928541.

Its product of digits (362880) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145829377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064380 + ... + 1064516.

It is an arithmetic number, because the mean of its divisors is an integer number (1694088).

Almost surely, 2^145829376 is an apocalyptic number.

145829376 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 145829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271054080).

145829376 is an abundant number, since it is smaller than the sum of its proper divisors (396278784).

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

145829376 is a wasteful number, since it uses less digits than its factorization.

145829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 145829376 is about 12075.9834382132. The cubic root of 145829376 is about 526.3585386301.

The spelling of 145829376 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, three hundred seventy-six".