145827136 has 140 divisors (see below), whose sum is σ = 368533172. Its totient is φ = 56899584.

The previous prime is 145827103. The next prime is 145827137. The reversal of 145827136 is 631728541.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 96040000 = 7056^2 + 9800^2 .

Its product of digits (40320) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 145827095 and 145827104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145827137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1997596 + ... + 1997668.

Almost surely, 2^145827136 is an apocalyptic number.

145827136 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 145827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184266586).

145827136 is an abundant number, since it is smaller than the sum of its proper divisors (222706036).

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

145827136 is an frugal number, since it uses more digits than its factorization.

145827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 145827136 is about 12075.8906917875. The cubic root of 145827136 is about 526.3558435875.

The spelling of 145827136 in words is "one hundred forty-five million, eight hundred twenty-seven thousand, one hundred thirty-six".