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145491164 = 227133131277
BaseRepresentation
bin10001010110000…
…00010011011100
3101010202201100122
420223000103130
5244221204124
622234214112
73414440330
oct1053002334
9333681318
10145491164
1175142735
1240884338
13241b0860
14154737c0
15cb8d75e
hex8ac04dc

145491164 has 48 divisors (see below), whose sum is σ = 314612928. Its totient is φ = 57328128.

The previous prime is 145491163. The next prime is 145491167. The reversal of 145491164 is 461194541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145491163) by changing a digit.

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, 113294 + ... + 114570.

It is an arithmetic number, because the mean of its divisors is an integer number (6554436).

Almost surely, 2145491164 is an apocalyptic number.

145491164 is a gapful number since it is divisible by the number (14) 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 145491164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157306464).

145491164 is an abundant number, since it is smaller than the sum of its proper divisors (169121764).

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

145491164 is a wasteful number, since it uses less digits than its factorization.

145491164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1612 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 145491164 is about 12061.9718122702. The cubic root of 145491164 is about 525.9513079785.

The spelling of 145491164 in words is "one hundred forty-five million, four hundred ninety-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 313 364 626 1252 1277 2191 2554 4069 4382 5108 8138 8764 8939 16276 16601 17878 28483 33202 35756 56966 66404 113932 116207 232414 399701 464828 799402 1598804 2797907 5196113 5595814 10392226 11191628 20784452 36372791 72745582 145491164