145301832 has 192 divisors, whose sum is σ = 451105200. Its totient is φ = 41932800.

The previous prime is 145301831. The next prime is 145301869. The reversal of 145301832 is 238103541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104162436 + 41139396 = 10206^2 + 6414^2 .

It is a super-2 number, since 2×145301832² = 42225244765112448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145301796 and 145301805.

It is not an unprimeable number, because it can be changed into a prime (145301831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438582 + ... + 1438682.

Almost surely, 2^145301832 is an apocalyptic number.

145301832 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 145301832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225552600).

145301832 is an abundant number, since it is smaller than the sum of its proper divisors (305803368).

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

145301832 is a wasteful number, since it uses less digits than its factorization.

145301832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145301832 is about 12054.1209550925. The cubic root of 145301832 is about 525.7230635574.

The spelling of 145301832 in words is "one hundred forty-five million, three hundred one thousand, eight hundred thirty-two".