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145977336 = 23331374933
BaseRepresentation
bin10001011001101…
…10111111111000
3101011200102021000
420230312333320
5244332233321
622252445000
73421533621
oct1054667770
9334612230
10145977336
1175444a2a
1240a79760
1324320c2b
141555ca48
15cc37826
hex8b36ff8

145977336 has 64 divisors (see below), whose sum is σ = 408535200. Its totient is φ = 48294144.

The previous prime is 145977319. The next prime is 145977367. The reversal of 145977336 is 633779541.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145977291 and 145977300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27126 + ... + 32058.

Almost surely, 2145977336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145977336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204267600).

145977336 is an abundant number, since it is smaller than the sum of its proper divisors (262557864).

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

145977336 is a wasteful number, since it uses less digits than its factorization.

145977336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5075 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 145977336 is about 12082.1080942028. The cubic root of 145977336 is about 526.5364947390.

The spelling of 145977336 in words is "one hundred forty-five million, nine hundred seventy-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4932 4933 7398 9864 9866 14796 14799 19732 29592 29598 39464 44397 59196 88794 118392 133191 177588 266382 355176 532764 675821 1065528 1351642 2027463 2703284 4054926 5406568 6082389 8109852 12164778 16219704 18247167 24329556 36494334 48659112 72988668 145977336