145431936 has 240 divisors, whose sum is σ = 474303060. Its totient is φ = 44209152.

The previous prime is 145431919. The next prime is 145431953. The reversal of 145431936 is 639134541.

It is an interprime number because it is at equal distance from previous prime (145431919) and next prime (145431953).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 145431936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752151 + ... + 1752233.

Almost surely, 2^145431936 is an apocalyptic number.

145431936 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 145431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237151530).

145431936 is an abundant number, since it is smaller than the sum of its proper divisors (328871124).

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

145431936 is an equidigital number, since it uses as much as digits as its factorization.

145431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 145431936 is about 12059.5164082147. The cubic root of 145431936 is about 525.8799284499.

The spelling of 145431936 in words is "one hundred forty-five million, four hundred thirty-one thousand, nine hundred thirty-six".