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145497408 = 2637293733
BaseRepresentation
bin10001010110000…
…01110101000000
3101010210000220220
420223001311000
5244221404113
622234303040
73414464460
oct1053016500
9333700826
10145497408
11751473a1
1240887a80
13241b3654
1415475ba0
15cb90523
hex8ac1d40

145497408 has 112 divisors (see below), whose sum is σ = 455249280. Its totient is φ = 40126464.

The previous prime is 145497403. The next prime is 145497419. The reversal of 145497408 is 804794541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145497408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145497403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37110 + ... + 40842.

Almost surely, 2145497408 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 145497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227624640).

145497408 is an abundant number, since it is smaller than the sum of its proper divisors (309751872).

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

145497408 is a wasteful number, since it uses less digits than its factorization.

145497408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 145497408 is about 12062.2306394796. The cubic root of 145497408 is about 525.9588319016.

The spelling of 145497408 in words is "one hundred forty-five million, four hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 3733 4872 5568 6496 7466 9744 11199 12992 14932 19488 22398 26131 29864 38976 44796 52262 59728 78393 89592 104524 108257 119456 156786 179184 209048 216514 238912 313572 324771 358368 418096 433028 627144 649542 716736 757799 836192 866056 1254288 1299084 1515598 1672384 1732112 2273397 2508576 2598168 3031196 3464224 4546794 5017152 5196336 6062392 6928448 9093588 10392672 12124784 18187176 20785344 24249568 36374352 48499136 72748704 145497408