145763136 has 126 divisors (see below), whose sum is σ = 441579762. Its totient is φ = 45964800.

The previous prime is 145763131. The next prime is 145763141. The reversal of 145763136 is 631367541.

145763136 is a `hidden beast` number, since 14 + 5 + 7 + 631 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (145763131) and next prime (145763141).

It can be written as a sum of positive squares in only one way, i.e., 140564736 + 5198400 = 11856^2 + 2280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 145763136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145763131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207586 + ... + 208286.

Almost surely, 2^145763136 is an apocalyptic number.

145763136 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 145763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220789881).

145763136 is an abundant number, since it is smaller than the sum of its proper divisors (295816626).

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

145763136 is a wasteful number, since it uses less digits than its factorization.

145763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 725 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 145763136 is about 12073.2404929248. The cubic root of 145763136 is about 526.2788307072.

The spelling of 145763136 in words is "one hundred forty-five million, seven hundred sixty-three thousand, one hundred thirty-six".