145475136 has 112 divisors (see below), whose sum is σ = 442569600. Its totient is φ = 46803456.

The previous prime is 145475129. The next prime is 145475173. The reversal of 145475136 is 631574541.

145475136 is a `hidden beast` number, since 1 + 454 + 75 + 136 = 666.

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 145475136.

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 15 ways as a sum of consecutive naturals, for example, 48661 + ... + 51563.

Almost surely, 2^145475136 is an apocalyptic number.

145475136 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 145475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284800).

145475136 is an abundant number, since it is smaller than the sum of its proper divisors (297094464).

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

145475136 is a wasteful number, since it uses less digits than its factorization.

145475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2937 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 145475136 is about 12061.3073918212. The cubic root of 145475136 is about 525.9319935017.

It can be divided in two parts, 14547513 and 6, that multiplied together give a triangular number (87285078 = T₁₃₂₁₂).

The spelling of 145475136 in words is "one hundred forty-five million, four hundred seventy-five thousand, one hundred thirty-six".