145735164 has 18 divisors (see below), whose sum is σ = 368386200. Its totient is φ = 48578376.

The previous prime is 145735157. The next prime is 145735189. The reversal of 145735164 is 461537541.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×145735164² = 42477476052213792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4048199 = 145735164 / (1 + 4 + 5 + 7 + 3 + 5 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2024064 + ... + 2024135.

It is an arithmetic number, because the mean of its divisors is an integer number (20465900).

Almost surely, 2^145735164 is an apocalyptic number.

It is an amenable number.

145735164 is an abundant number, since it is smaller than the sum of its proper divisors (222651036).

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

145735164 is a wasteful number, since it uses less digits than its factorization.

145735164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048209 (or 4048204 counting only the distinct ones).

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

The square root of 145735164 is about 12072.0820076737. The cubic root of 145735164 is about 526.2451641858.

Subtracting from 145735164 its sum of digits (36), we obtain a triangular number (145735128 = T₁₇₀₇₂).

The spelling of 145735164 in words is "one hundred forty-five million, seven hundred thirty-five thousand, one hundred sixty-four".